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Finding the Fourth Proportional to 408,816.27, 613,177.69 and 109,320.20

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Solution

The fourth proportional to 408,816.27, 613,177.69 and 109,320.20 is: 163,967.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,816.27 : 613,177.69 = 109,320.20 : x
  2. Step 2: Convert to fraction form
    408,816.27/613,177.69 = 109,320.20/x
  3. Step 3: Cross multiply
    408,816.27x = 613,177.69 × 109,320.20
  4. Step 4: Simplify right side
    408,816.27x = 67,032,707,706.34
  5. Step 5: Solve for x
    x = 67,032,707,706.34/408,816.27
  6. Step 6: Final answer
    x = 163,967.81

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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.