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Finding the Fourth Proportional to 438,472.10, 657,708.15 and 202,276.10

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Solution

The fourth proportional to 438,472.10, 657,708.15 and 202,276.10 is: 303,414.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,472.10 : 657,708.15 = 202,276.10 : x
  2. Step 2: Convert to fraction form
    438,472.10/657,708.15 = 202,276.10/x
  3. Step 3: Cross multiply
    438,472.10x = 657,708.15 × 202,276.10
  4. Step 4: Simplify right side
    438,472.10x = 133,038,639,520.22
  5. Step 5: Solve for x
    x = 133,038,639,520.22/438,472.10
  6. Step 6: Final answer
    x = 303,414.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.