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Finding the Fourth Proportional to 498,044.88, 747,163.29 and 161,169.12

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Solution

The fourth proportional to 498,044.88, 747,163.29 and 161,169.12 is: 241,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,044.88 : 747,163.29 = 161,169.12 : x
  2. Step 2: Convert to fraction form
    498,044.88/747,163.29 = 161,169.12/x
  3. Step 3: Cross multiply
    498,044.88x = 747,163.29 × 161,169.12
  4. Step 4: Simplify right side
    498,044.88x = 120,419,649,945.61
  5. Step 5: Solve for x
    x = 120,419,649,945.61/498,044.88
  6. Step 6: Final answer
    x = 241,784.74

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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.