Finding the Fourth Proportional to 296,765.76, 409,537.13 and 160,799.67
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Solution
The fourth proportional to 296,765.76, 409,537.13 and 160,799.67 is: 221,903.75
Step by Step Solution
- Step 1: Write the proportion equation
296,765.76 : 409,537.13 = 160,799.67 : x - Step 2: Convert to fraction form
296,765.76/409,537.13 = 160,799.67/x - Step 3: Cross multiply
296,765.76x = 409,537.13 × 160,799.67 - Step 4: Simplify right side
296,765.76x = 65,853,434,552.75 - Step 5: Solve for x
x = 65,853,434,552.75/296,765.76 - Step 6: Final answer
x = 221,903.75
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.