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Finding the Fourth Proportional to 392,807.54, 588,754.20 and 224,445.80

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Solution

The fourth proportional to 392,807.54, 588,754.20 and 224,445.80 is: 336,407.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,807.54 : 588,754.20 = 224,445.80 : x
  2. Step 2: Convert to fraction form
    392,807.54/588,754.20 = 224,445.80/x
  3. Step 3: Cross multiply
    392,807.54x = 588,754.20 × 224,445.80
  4. Step 4: Simplify right side
    392,807.54x = 132,143,407,422.36
  5. Step 5: Solve for x
    x = 132,143,407,422.36/392,807.54
  6. Step 6: Final answer
    x = 336,407.51

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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.