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Finding the Fourth Proportional to 567,781.40, 851,672.10 and 466,304.60

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Solution

The fourth proportional to 567,781.40, 851,672.10 and 466,304.60 is: 699,456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,781.40 : 851,672.10 = 466,304.60 : x
  2. Step 2: Convert to fraction form
    567,781.40/851,672.10 = 466,304.60/x
  3. Step 3: Cross multiply
    567,781.40x = 851,672.10 × 466,304.60
  4. Step 4: Simplify right side
    567,781.40x = 397,138,617,921.66
  5. Step 5: Solve for x
    x = 397,138,617,921.66/567,781.40
  6. Step 6: Final answer
    x = 699,456.90

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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.