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Finding the Fourth Proportional to 473,898.87, 710,892.86 and 174,385.17

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Solution

The fourth proportional to 473,898.87, 710,892.86 and 174,385.17 is: 261,594.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,898.87 : 710,892.86 = 174,385.17 : x
  2. Step 2: Convert to fraction form
    473,898.87/710,892.86 = 174,385.17/x
  3. Step 3: Cross multiply
    473,898.87x = 710,892.86 × 174,385.17
  4. Step 4: Simplify right side
    473,898.87x = 123,969,171,370.96
  5. Step 5: Solve for x
    x = 123,969,171,370.96/473,898.87
  6. Step 6: Final answer
    x = 261,594.15

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Why These Related Problems?

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