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Finding the Fourth Proportional to 382,342.80, 573,951.60 and 224,660.10

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Solution

The fourth proportional to 382,342.80, 573,951.60 and 224,660.10 is: 337,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,342.80 : 573,951.60 = 224,660.10 : x
  2. Step 2: Convert to fraction form
    382,342.80/573,951.60 = 224,660.10/x
  3. Step 3: Cross multiply
    382,342.80x = 573,951.60 × 224,660.10
  4. Step 4: Simplify right side
    382,342.80x = 128,944,023,851.16
  5. Step 5: Solve for x
    x = 128,944,023,851.16/382,342.80
  6. Step 6: Final answer
    x = 337,247.16

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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.