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Finding the Fourth Proportional to 398,175.20, 597,262.80 and 148,824.80

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Solution

The fourth proportional to 398,175.20, 597,262.80 and 148,824.80 is: 223,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,175.20 : 597,262.80 = 148,824.80 : x
  2. Step 2: Convert to fraction form
    398,175.20/597,262.80 = 148,824.80/x
  3. Step 3: Cross multiply
    398,175.20x = 597,262.80 × 148,824.80
  4. Step 4: Simplify right side
    398,175.20x = 88,887,516,757.44
  5. Step 5: Solve for x
    x = 88,887,516,757.44/398,175.20
  6. Step 6: Final answer
    x = 223,237.20

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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.