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Finding the Fourth Proportional to 361,648.20, 499,104.09 and 200,553.78

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Solution

The fourth proportional to 361,648.20, 499,104.09 and 200,553.78 is: 276,780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,648.20 : 499,104.09 = 200,553.78 : x
  2. Step 2: Convert to fraction form
    361,648.20/499,104.09 = 200,553.78/x
  3. Step 3: Cross multiply
    361,648.20x = 499,104.09 × 200,553.78
  4. Step 4: Simplify right side
    361,648.20x = 100,097,211,862.96
  5. Step 5: Solve for x
    x = 100,097,211,862.96/361,648.20
  6. Step 6: Final answer
    x = 276,780.62

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1.5x scale

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.