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Finding the Fourth Proportional to 415,195.40, 622,793.10 and 332,251.40

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Solution

The fourth proportional to 415,195.40, 622,793.10 and 332,251.40 is: 498,377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,195.40 : 622,793.10 = 332,251.40 : x
  2. Step 2: Convert to fraction form
    415,195.40/622,793.10 = 332,251.40/x
  3. Step 3: Cross multiply
    415,195.40x = 622,793.10 × 332,251.40
  4. Step 4: Simplify right side
    415,195.40x = 206,923,879,385.34
  5. Step 5: Solve for x
    x = 206,923,879,385.34/415,195.40
  6. Step 6: Final answer
    x = 498,377.10

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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.