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Finding the Fourth Proportional to 398,563.20, 597,844.80 and 149,212.80

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Solution

The fourth proportional to 398,563.20, 597,844.80 and 149,212.80 is: 223,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,563.20 : 597,844.80 = 149,212.80 : x
  2. Step 2: Convert to fraction form
    398,563.20/597,844.80 = 149,212.80/x
  3. Step 3: Cross multiply
    398,563.20x = 597,844.80 × 149,212.80
  4. Step 4: Simplify right side
    398,563.20x = 89,206,096,573.44
  5. Step 5: Solve for x
    x = 89,206,096,573.44/398,563.20
  6. Step 6: Final answer
    x = 223,819.20

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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.