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Finding the Fourth Proportional to 497,593.80, 746,390.70 and 165,169.80

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Solution

The fourth proportional to 497,593.80, 746,390.70 and 165,169.80 is: 247,754.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,593.80 : 746,390.70 = 165,169.80 : x
  2. Step 2: Convert to fraction form
    497,593.80/746,390.70 = 165,169.80/x
  3. Step 3: Cross multiply
    497,593.80x = 746,390.70 × 165,169.80
  4. Step 4: Simplify right side
    497,593.80x = 123,281,202,640.86
  5. Step 5: Solve for x
    x = 123,281,202,640.86/497,593.80
  6. Step 6: Final answer
    x = 247,754.70

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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.