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Finding the Fourth Proportional to 408,355.76, 563,531.46 and 227,065.70

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Solution

The fourth proportional to 408,355.76, 563,531.46 and 227,065.70 is: 313,350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,355.76 : 563,531.46 = 227,065.70 : x
  2. Step 2: Convert to fraction form
    408,355.76/563,531.46 = 227,065.70/x
  3. Step 3: Cross multiply
    408,355.76x = 563,531.46 × 227,065.70
  4. Step 4: Simplify right side
    408,355.76x = 127,958,665,436.92
  5. Step 5: Solve for x
    x = 127,958,665,436.92/408,355.76
  6. Step 6: Final answer
    x = 313,350.95

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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.