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Finding the Fourth Proportional to 392,188.65, 541,209.83 and 222,419.13

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Solution

The fourth proportional to 392,188.65, 541,209.83 and 222,419.13 is: 306,932.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,188.65 : 541,209.83 = 222,419.13 : x
  2. Step 2: Convert to fraction form
    392,188.65/541,209.83 = 222,419.13/x
  3. Step 3: Cross multiply
    392,188.65x = 541,209.83 × 222,419.13
  4. Step 4: Simplify right side
    392,188.65x = 120,375,415,717.90
  5. Step 5: Solve for x
    x = 120,375,415,717.90/392,188.65
  6. Step 6: Final answer
    x = 306,932.43

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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.