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Finding the Fourth Proportional to 527,456.40, 790,666.20 and 471,469.20

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Solution

The fourth proportional to 527,456.40, 790,666.20 and 471,469.20 is: 706,740.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,456.40 : 790,666.20 = 471,469.20 : x
  2. Step 2: Convert to fraction form
    527,456.40/790,666.20 = 471,469.20/x
  3. Step 3: Cross multiply
    527,456.40x = 790,666.20 × 471,469.20
  4. Step 4: Simplify right side
    527,456.40x = 372,774,760,781.04
  5. Step 5: Solve for x
    x = 372,774,760,781.04/527,456.40
  6. Step 6: Final answer
    x = 706,740.43

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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.