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Finding the Fourth Proportional to 408,062.62, 563,115.18 and 226,769.92

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Solution

The fourth proportional to 408,062.62, 563,115.18 and 226,769.92 is: 312,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,062.62 : 563,115.18 = 226,769.92 : x
  2. Step 2: Convert to fraction form
    408,062.62/563,115.18 = 226,769.92/x
  3. Step 3: Cross multiply
    408,062.62x = 563,115.18 × 226,769.92
  4. Step 4: Simplify right side
    408,062.62x = 127,697,584,319.39
  5. Step 5: Solve for x
    x = 127,697,584,319.39/408,062.62
  6. Step 6: Final answer
    x = 312,936.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.