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Finding the Fourth Proportional to 471,839.17, 708,063.23 and 172,294.66

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Solution

The fourth proportional to 471,839.17, 708,063.23 and 172,294.66 is: 258,553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,839.17 : 708,063.23 = 172,294.66 : x
  2. Step 2: Convert to fraction form
    471,839.17/708,063.23 = 172,294.66/x
  3. Step 3: Cross multiply
    471,839.17x = 708,063.23 × 172,294.66
  4. Step 4: Simplify right side
    471,839.17x = 121,995,513,471.35
  5. Step 5: Solve for x
    x = 121,995,513,471.35/471,839.17
  6. Step 6: Final answer
    x = 258,553.17

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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.