There is a lot of confusion here between "mass balance" and "mole balance".
If you started with 100g of your API, with a molecular weight of 610, that works out to 0.164 moles
If you ended up with 73g of API in the stressed sample, that works out to 0.120 moles
and if you had 16 g of the known degradant, with a molecular weight of 300, in the stressed sample that works out to 0.053 moles
Those numbers obviously don't add up (0.120 + 0.053 = 0.173 moles), so either there is an error in your methodology or (more likely), I'm misinterpreting the original post.
If you know the molecular weight of the major degradant, you presumably know its structure and should therefore be able to make an educated guess as to the degradation mechanism and what the rest of the molecule is doing.