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Finding the Fourth Proportional to 502,249.12, 753,478.98 and 147,234.22

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Solution

The fourth proportional to 502,249.12, 753,478.98 and 147,234.22 is: 220,882.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,249.12 : 753,478.98 = 147,234.22 : x
  2. Step 2: Convert to fraction form
    502,249.12/753,478.98 = 147,234.22/x
  3. Step 3: Cross multiply
    502,249.12x = 753,478.98 × 147,234.22
  4. Step 4: Simplify right side
    502,249.12x = 110,937,889,906.70
  5. Step 5: Solve for x
    x = 110,937,889,906.70/502,249.12
  6. Step 6: Final answer
    x = 220,882.20

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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.