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Finding the Fourth Proportional to 408,096.20, 612,144.30 and 275,385.80

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Solution

The fourth proportional to 408,096.20, 612,144.30 and 275,385.80 is: 413,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,096.20 : 612,144.30 = 275,385.80 : x
  2. Step 2: Convert to fraction form
    408,096.20/612,144.30 = 275,385.80/x
  3. Step 3: Cross multiply
    408,096.20x = 612,144.30 × 275,385.80
  4. Step 4: Simplify right side
    408,096.20x = 168,575,847,770.94
  5. Step 5: Solve for x
    x = 168,575,847,770.94/408,096.20
  6. Step 6: Final answer
    x = 413,078.70

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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.