Here is an interesting question. What do casualty ratios have to do with determining whether an army or nation wins wars or not? I bring this up because there has been some discussion in the literature abut the fact that in both World Wars the German army achieved kill ratios of at least 2-1 against their enemies yet still managed to lose the war. Niall Ferguson and John Mosier are the biggest proponents of these numbers. The crux of their argument is that economies win modern wars not the actual fighting man. I suppose you could say they propound a material theory of war conclusion. They really enjoy throwing numbers around. for example, numbers of tanks, aircraft, ships produced. Or tons of steel, tons of Coal, tons of wheat produced. They essentially contend that Germany was simply outproduced into defeat. There is some weight to their argument, but my personal feeling is that the reasons for the German loss are much more complex than that although relative economic size certainly played a part.
I think it was actually higher than that. The math goes something like 1-2 million vietnames casualties to 60,000 American. A range od 16.6-1 to 33.3-1 in Vietnam. That NVA and Vietcong casualty numbers have never been officially released to my Knowledge.
Plus, if a country enters the war late, they are fresh and are full of supplies. Production numbers have also been used to determine if strategic bombing is effective.
The historical record seems to imply that in modern warfare at least, the ratio of enemy to friendly dead doesn't matter in determining the final victory. I have seen some interesting discussion relating to the total casualty ration in determining whether a nation will be the victor. But it think that this is quite deterministic and the numbers appear to me to be used out of context. I am not a big believer in the industrialization of warfare to begin with. That might just be the Don Quixote in me coming out though.