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Finding the Fourth Proportional to 298,614.33, 447,997.41 and 88,252.29

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Solution

The fourth proportional to 298,614.33, 447,997.41 and 88,252.29 is: 132,400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,614.33 : 447,997.41 = 88,252.29 : x
  2. Step 2: Convert to fraction form
    298,614.33/447,997.41 = 88,252.29/x
  3. Step 3: Cross multiply
    298,614.33x = 447,997.41 × 88,252.29
  4. Step 4: Simplify right side
    298,614.33x = 39,536,797,346.57
  5. Step 5: Solve for x
    x = 39,536,797,346.57/298,614.33
  6. Step 6: Final answer
    x = 132,400.87

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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.