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Finding the Fourth Proportional to 408,825.24, 613,471.14 and 159,448.92

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Solution

The fourth proportional to 408,825.24, 613,471.14 and 159,448.92 is: 239,264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,825.24 : 613,471.14 = 159,448.92 : x
  2. Step 2: Convert to fraction form
    408,825.24/613,471.14 = 159,448.92/x
  3. Step 3: Cross multiply
    408,825.24x = 613,471.14 × 159,448.92
  4. Step 4: Simplify right side
    408,825.24x = 97,817,310,724.17
  5. Step 5: Solve for x
    x = 97,817,310,724.17/408,825.24
  6. Step 6: Final answer
    x = 239,264.36

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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.