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Finding the Fourth Proportional to 408,876.46, 564,249.44 and 227,584.50

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Solution

The fourth proportional to 408,876.46, 564,249.44 and 227,584.50 is: 314,066.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,876.46 : 564,249.44 = 227,584.50 : x
  2. Step 2: Convert to fraction form
    408,876.46/564,249.44 = 227,584.50/x
  3. Step 3: Cross multiply
    408,876.46x = 564,249.44 × 227,584.50
  4. Step 4: Simplify right side
    408,876.46x = 128,414,426,677.68
  5. Step 5: Solve for x
    x = 128,414,426,677.68/408,876.46
  6. Step 6: Final answer
    x = 314,066.57

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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.