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Finding the Fourth Proportional to 499,273.20, 748,909.80 and 277,657.20

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Solution

The fourth proportional to 499,273.20, 748,909.80 and 277,657.20 is: 416,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,273.20 : 748,909.80 = 277,657.20 : x
  2. Step 2: Convert to fraction form
    499,273.20/748,909.80 = 277,657.20/x
  3. Step 3: Cross multiply
    499,273.20x = 748,909.80 × 277,657.20
  4. Step 4: Simplify right side
    499,273.20x = 207,940,198,120.56
  5. Step 5: Solve for x
    x = 207,940,198,120.56/499,273.20
  6. Step 6: Final answer
    x = 416,485.80

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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.