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Finding the Fourth Proportional to 403,521.20, 605,233.20 and 166,839.20

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Solution

The fourth proportional to 403,521.20, 605,233.20 and 166,839.20 is: 250,238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,521.20 : 605,233.20 = 166,839.20 : x
  2. Step 2: Convert to fraction form
    403,521.20/605,233.20 = 166,839.20/x
  3. Step 3: Cross multiply
    403,521.20x = 605,233.20 × 166,839.20
  4. Step 4: Simplify right side
    403,521.20x = 100,976,622,901.44
  5. Step 5: Solve for x
    x = 100,976,622,901.44/403,521.20
  6. Step 6: Final answer
    x = 250,238.71

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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.