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Finding the Fourth Proportional to 338,233.92, 466,766.24 and 204,072

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Solution

The fourth proportional to 338,233.92, 466,766.24 and 204,072 is: 281,621.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,233.92 : 466,766.24 = 204,072 : x
  2. Step 2: Convert to fraction form
    338,233.92/466,766.24 = 204,072/x
  3. Step 3: Cross multiply
    338,233.92x = 466,766.24 × 204,072
  4. Step 4: Simplify right side
    338,233.92x = 95,253,920,129.28
  5. Step 5: Solve for x
    x = 95,253,920,129.28/338,233.92
  6. Step 6: Final answer
    x = 281,621.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.