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Finding the Fourth Proportional to 413,471.97, 619,814.28 and 132,792.39

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Solution

The fourth proportional to 413,471.97, 619,814.28 and 132,792.39 is: 199,062.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,471.97 : 619,814.28 = 132,792.39 : x
  2. Step 2: Convert to fraction form
    413,471.97/619,814.28 = 132,792.39/x
  3. Step 3: Cross multiply
    413,471.97x = 619,814.28 × 132,792.39
  4. Step 4: Simplify right side
    413,471.97x = 82,306,619,597.33
  5. Step 5: Solve for x
    x = 82,306,619,597.33/413,471.97
  6. Step 6: Final answer
    x = 199,062.15

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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.