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Finding the Fourth Proportional to 408,147.34, 563,242.74 and 226,876.12

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Solution

The fourth proportional to 408,147.34, 563,242.74 and 226,876.12 is: 313,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,147.34 : 563,242.74 = 226,876.12 : x
  2. Step 2: Convert to fraction form
    408,147.34/563,242.74 = 226,876.12/x
  3. Step 3: Cross multiply
    408,147.34x = 563,242.74 × 226,876.12
  4. Step 4: Simplify right side
    408,147.34x = 127,786,327,469.37
  5. Step 5: Solve for x
    x = 127,786,327,469.37/408,147.34
  6. Step 6: Final answer
    x = 313,088.72

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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.