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Finding the Fourth Proportional to 408,700.96, 564,007.33 and 227,424.57

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Solution

The fourth proportional to 408,700.96, 564,007.33 and 227,424.57 is: 313,845.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,700.96 : 564,007.33 = 227,424.57 : x
  2. Step 2: Convert to fraction form
    408,700.96/564,007.33 = 227,424.57/x
  3. Step 3: Cross multiply
    408,700.96x = 564,007.33 × 227,424.57
  4. Step 4: Simplify right side
    408,700.96x = 128,269,125,198.66
  5. Step 5: Solve for x
    x = 128,269,125,198.66/408,700.96
  6. Step 6: Final answer
    x = 313,845.91

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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.