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Finding the Fourth Proportional to 497,572.13, 746,358.26 and 165,148.13

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Solution

The fourth proportional to 497,572.13, 746,358.26 and 165,148.13 is: 247,722.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,572.13 : 746,358.26 = 165,148.13 : x
  2. Step 2: Convert to fraction form
    497,572.13/746,358.26 = 165,148.13/x
  3. Step 3: Cross multiply
    497,572.13x = 746,358.26 × 165,148.13
  4. Step 4: Simplify right side
    497,572.13x = 123,259,666,391.52
  5. Step 5: Solve for x
    x = 123,259,666,391.52/497,572.13
  6. Step 6: Final answer
    x = 247,722.21

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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.