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Finding the Fourth Proportional to 361,657.20, 499,116.52 and 200,562.80

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Solution

The fourth proportional to 361,657.20, 499,116.52 and 200,562.80 is: 276,793.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,657.20 : 499,116.52 = 200,562.80 : x
  2. Step 2: Convert to fraction form
    361,657.20/499,116.52 = 200,562.80/x
  3. Step 3: Cross multiply
    361,657.20x = 499,116.52 × 200,562.80
  4. Step 4: Simplify right side
    361,657.20x = 100,104,206,777.46
  5. Step 5: Solve for x
    x = 100,104,206,777.46/361,657.20
  6. Step 6: Final answer
    x = 276,793.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.