AMC 12 2007a Problem 19

Triangles $ABC$ and $ADE$ have areas $2007$ and $7002,$ respectively, with $B = (0,0),$ $C = (223,0),$ $D = (680,380),$ and $E = (689,389).$ What is the sum of all possible x-coordinates of $A$?

$\mathrm{(A)}\ 282 \mathrm{(B)}\ 300 \mathrm{(C)}\ 600 \mathrm{(D)}\ 900 \mathrm{(E)}\ 1200$