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Finding the Fourth Proportional to 408,864.60, 613,078.20 and 171,939.60

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Solution

The fourth proportional to 408,864.60, 613,078.20 and 171,939.60 is: 257,817.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,864.60 : 613,078.20 = 171,939.60 : x
  2. Step 2: Convert to fraction form
    408,864.60/613,078.20 = 171,939.60/x
  3. Step 3: Cross multiply
    408,864.60x = 613,078.20 × 171,939.60
  4. Step 4: Simplify right side
    408,864.60x = 105,412,420,476.72
  5. Step 5: Solve for x
    x = 105,412,420,476.72/408,864.60
  6. Step 6: Final answer
    x = 257,817.43

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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.