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Finding the Fourth Proportional to 498,687.40, 748,031.10 and 161,727.40

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Solution

The fourth proportional to 498,687.40, 748,031.10 and 161,727.40 is: 242,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,687.40 : 748,031.10 = 161,727.40 : x
  2. Step 2: Convert to fraction form
    498,687.40/748,031.10 = 161,727.40/x
  3. Step 3: Cross multiply
    498,687.40x = 748,031.10 × 161,727.40
  4. Step 4: Simplify right side
    498,687.40x = 120,977,124,922.14
  5. Step 5: Solve for x
    x = 120,977,124,922.14/498,687.40
  6. Step 6: Final answer
    x = 242,591.10

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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.