I’m assuming the January 1 Beginning Inventory is the $190,000 you listed.
Solving for COGS:
Gross Profit % = (Net Sales – COGS) ÷ Net Sales
44% = (685,000 – COGS) ÷ 685,000
44% X 685,000 = 685,000 – COGS
COGS = 685,000 - (44% X 685,000)
COGS = 383,600
Solving for Ending Inventory:
190,000 Beginning Inventory
+ 352,000 Purchases
542,000 Goods available for sale
- 383,600 COGS
158,400 Ending Inventory
Hope this helps!
Scott