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Finding the Fourth Proportional to 523,472.76, 781,663.05 and 415,646.82

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Solution

The fourth proportional to 523,472.76, 781,663.05 and 415,646.82 is: 620,654.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,472.76 : 781,663.05 = 415,646.82 : x
  2. Step 2: Convert to fraction form
    523,472.76/781,663.05 = 415,646.82/x
  3. Step 3: Cross multiply
    523,472.76x = 781,663.05 × 415,646.82
  4. Step 4: Simplify right side
    523,472.76x = 324,895,761,044.00
  5. Step 5: Solve for x
    x = 324,895,761,044.00/523,472.76
  6. Step 6: Final answer
    x = 620,654.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.