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Finding the Fourth Proportional to 408,004.42, 563,034.92 and 226,711.68

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Solution

The fourth proportional to 408,004.42, 563,034.92 and 226,711.68 is: 312,855.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,004.42 : 563,034.92 = 226,711.68 : x
  2. Step 2: Convert to fraction form
    408,004.42/563,034.92 = 226,711.68/x
  3. Step 3: Cross multiply
    408,004.42x = 563,034.92 × 226,711.68
  4. Step 4: Simplify right side
    408,004.42x = 127,646,592,611.87
  5. Step 5: Solve for x
    x = 127,646,592,611.87/408,004.42
  6. Step 6: Final answer
    x = 312,855.91

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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.