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Finding the Fourth Proportional to 413,414.10, 620,121.15 and 132,959.70

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Solution

The fourth proportional to 413,414.10, 620,121.15 and 132,959.70 is: 199,439.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,414.10 : 620,121.15 = 132,959.70 : x
  2. Step 2: Convert to fraction form
    413,414.10/620,121.15 = 132,959.70/x
  3. Step 3: Cross multiply
    413,414.10x = 620,121.15 × 132,959.70
  4. Step 4: Simplify right side
    413,414.10x = 82,451,122,067.66
  5. Step 5: Solve for x
    x = 82,451,122,067.66/413,414.10
  6. Step 6: Final answer
    x = 199,439.55

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1.5x scale

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.