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Finding the Fourth Proportional to 474,345.97, 710,378.71 and 271,326.76

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Solution

The fourth proportional to 474,345.97, 710,378.71 and 271,326.76 is: 406,337.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,345.97 : 710,378.71 = 271,326.76 : x
  2. Step 2: Convert to fraction form
    474,345.97/710,378.71 = 271,326.76/x
  3. Step 3: Cross multiply
    474,345.97x = 710,378.71 × 271,326.76
  4. Step 4: Simplify right side
    474,345.97x = 192,744,755,298.90
  5. Step 5: Solve for x
    x = 192,744,755,298.90/474,345.97
  6. Step 6: Final answer
    x = 406,337.92

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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.