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Finding the Fourth Proportional to 498,469.92, 747,262.62 and 182,854.23

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Solution

The fourth proportional to 498,469.92, 747,262.62 and 182,854.23 is: 274,119.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,469.92 : 747,262.62 = 182,854.23 : x
  2. Step 2: Convert to fraction form
    498,469.92/747,262.62 = 182,854.23/x
  3. Step 3: Cross multiply
    498,469.92x = 747,262.62 × 182,854.23
  4. Step 4: Simplify right side
    498,469.92x = 136,640,130,987.88
  5. Step 5: Solve for x
    x = 136,640,130,987.88/498,469.92
  6. Step 6: Final answer
    x = 274,119.11

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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.