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Finding the Fourth Proportional to 408,882.26, 613,323.24 and 109,355.06

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Solution

The fourth proportional to 408,882.26, 613,323.24 and 109,355.06 is: 164,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,882.26 : 613,323.24 = 109,355.06 : x
  2. Step 2: Convert to fraction form
    408,882.26/613,323.24 = 109,355.06/x
  3. Step 3: Cross multiply
    408,882.26x = 613,323.24 × 109,355.06
  4. Step 4: Simplify right side
    408,882.26x = 67,069,996,642.98
  5. Step 5: Solve for x
    x = 67,069,996,642.98/408,882.26
  6. Step 6: Final answer
    x = 164,032.54

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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.