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Finding the Fourth Proportional to 398,227.20, 597,340.80 and 148,876.80

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Solution

The fourth proportional to 398,227.20, 597,340.80 and 148,876.80 is: 223,315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,227.20 : 597,340.80 = 148,876.80 : x
  2. Step 2: Convert to fraction form
    398,227.20/597,340.80 = 148,876.80/x
  3. Step 3: Cross multiply
    398,227.20x = 597,340.80 × 148,876.80
  4. Step 4: Simplify right side
    398,227.20x = 88,930,186,813.44
  5. Step 5: Solve for x
    x = 88,930,186,813.44/398,227.20
  6. Step 6: Final answer
    x = 223,315.20

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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.