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Finding the Fourth Proportional to 408,004.65, 563,035.19 and 226,711.89

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Solution

The fourth proportional to 408,004.65, 563,035.19 and 226,711.89 is: 312,856.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,004.65 : 563,035.19 = 226,711.89 : x
  2. Step 2: Convert to fraction form
    408,004.65/563,035.19 = 226,711.89/x
  3. Step 3: Cross multiply
    408,004.65x = 563,035.19 × 226,711.89
  4. Step 4: Simplify right side
    408,004.65x = 127,646,770,927.85
  5. Step 5: Solve for x
    x = 127,646,770,927.85/408,004.65
  6. Step 6: Final answer
    x = 312,856.17

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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.