Answer
$530.2~carats=0.2343~lb$
Work Step by Step
We know that
$m=530.2carat(\frac{0.20g}{1carat})(\frac{10^{-3}Kg}{1g})$
$m=0.10604Kg$
Now we can convert this mass into pounds as
$weight=0.10604Kg(\frac{2.21lb}{1Kg})$
$\implies weight=0.234pounds$