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Finding the Fourth Proportional to 497,605.72, 746,385.90 and 160,661.92

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Solution

The fourth proportional to 497,605.72, 746,385.90 and 160,661.92 is: 240,985.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,605.72 : 746,385.90 = 160,661.92 : x
  2. Step 2: Convert to fraction form
    497,605.72/746,385.90 = 160,661.92/x
  3. Step 3: Cross multiply
    497,605.72x = 746,385.90 × 160,661.92
  4. Step 4: Simplify right side
    497,605.72x = 119,915,791,754.93
  5. Step 5: Solve for x
    x = 119,915,791,754.93/497,605.72
  6. Step 6: Final answer
    x = 240,985.56

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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.