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Finding the Fourth Proportional to 476,713.92, 657,847.54 and 261,841.17

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Solution

The fourth proportional to 476,713.92, 657,847.54 and 261,841.17 is: 361,331.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,713.92 : 657,847.54 = 261,841.17 : x
  2. Step 2: Convert to fraction form
    476,713.92/657,847.54 = 261,841.17/x
  3. Step 3: Cross multiply
    476,713.92x = 657,847.54 × 261,841.17
  4. Step 4: Simplify right side
    476,713.92x = 172,251,569,555.22
  5. Step 5: Solve for x
    x = 172,251,569,555.22/476,713.92
  6. Step 6: Final answer
    x = 361,331.11

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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.