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Finding the Fourth Proportional to 408,052.70, 611,481.45 and 365,932.70

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Solution

The fourth proportional to 408,052.70, 611,481.45 and 365,932.70 is: 548,363.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,052.70 : 611,481.45 = 365,932.70 : x
  2. Step 2: Convert to fraction form
    408,052.70/611,481.45 = 365,932.70/x
  3. Step 3: Cross multiply
    408,052.70x = 611,481.45 × 365,932.70
  4. Step 4: Simplify right side
    408,052.70x = 223,761,057,998.42
  5. Step 5: Solve for x
    x = 223,761,057,998.42/408,052.70
  6. Step 6: Final answer
    x = 548,363.14

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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.