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Finding the Fourth Proportional to 408,255.99, 563,361.36 and 226,956.90

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Solution

The fourth proportional to 408,255.99, 563,361.36 and 226,956.90 is: 313,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,255.99 : 563,361.36 = 226,956.90 : x
  2. Step 2: Convert to fraction form
    408,255.99/563,361.36 = 226,956.90/x
  3. Step 3: Cross multiply
    408,255.99x = 563,361.36 × 226,956.90
  4. Step 4: Simplify right side
    408,255.99x = 127,858,747,845.38
  5. Step 5: Solve for x
    x = 127,858,747,845.38/408,255.99
  6. Step 6: Final answer
    x = 313,182.78

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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.