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Finding the Fourth Proportional to 408,067.62, 563,122.06 and 226,774.90

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Solution

The fourth proportional to 408,067.62, 563,122.06 and 226,774.90 is: 312,943.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,067.62 : 563,122.06 = 226,774.90 : x
  2. Step 2: Convert to fraction form
    408,067.62/563,122.06 = 226,774.90/x
  3. Step 3: Cross multiply
    408,067.62x = 563,122.06 × 226,774.90
  4. Step 4: Simplify right side
    408,067.62x = 127,701,948,844.29
  5. Step 5: Solve for x
    x = 127,701,948,844.29/408,067.62
  6. Step 6: Final answer
    x = 312,943.11

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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.