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Finding the Fourth Proportional to 408,266.52, 563,375.79 and 226,967.42

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Solution

The fourth proportional to 408,266.52, 563,375.79 and 226,967.42 is: 313,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,266.52 : 563,375.79 = 226,967.42 : x
  2. Step 2: Convert to fraction form
    408,266.52/563,375.79 = 226,967.42/x
  3. Step 3: Cross multiply
    408,266.52x = 563,375.79 × 226,967.42
  4. Step 4: Simplify right side
    408,266.52x = 127,867,949,546.76
  5. Step 5: Solve for x
    x = 127,867,949,546.76/408,266.52
  6. Step 6: Final answer
    x = 313,197.25

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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.