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Finding the Fourth Proportional to 497,645.80, 746,468.70 and 165,221.80

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Solution

The fourth proportional to 497,645.80, 746,468.70 and 165,221.80 is: 247,832.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,645.80 : 746,468.70 = 165,221.80 : x
  2. Step 2: Convert to fraction form
    497,645.80/746,468.70 = 165,221.80/x
  3. Step 3: Cross multiply
    497,645.80x = 746,468.70 × 165,221.80
  4. Step 4: Simplify right side
    497,645.80x = 123,332,902,257.66
  5. Step 5: Solve for x
    x = 123,332,902,257.66/497,645.80
  6. Step 6: Final answer
    x = 247,832.70

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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.