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Finding the Fourth Proportional to 492,171.20, 738,040.80 and 225,843.20

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Solution

The fourth proportional to 492,171.20, 738,040.80 and 225,843.20 is: 338,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,171.20 : 738,040.80 = 225,843.20 : x
  2. Step 2: Convert to fraction form
    492,171.20/738,040.80 = 225,843.20/x
  3. Step 3: Cross multiply
    492,171.20x = 738,040.80 × 225,843.20
  4. Step 4: Simplify right side
    492,171.20x = 166,681,496,002.56
  5. Step 5: Solve for x
    x = 166,681,496,002.56/492,171.20
  6. Step 6: Final answer
    x = 338,665.68

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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.