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Finding the Fourth Proportional to 408,253.66, 563,402.27 and 224,482.70

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Solution

The fourth proportional to 408,253.66, 563,402.27 and 224,482.70 is: 309,792.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,253.66 : 563,402.27 = 224,482.70 : x
  2. Step 2: Convert to fraction form
    408,253.66/563,402.27 = 224,482.70/x
  3. Step 3: Cross multiply
    408,253.66x = 563,402.27 × 224,482.70
  4. Step 4: Simplify right side
    408,253.66x = 126,474,062,755.73
  5. Step 5: Solve for x
    x = 126,474,062,755.73/408,253.66
  6. Step 6: Final answer
    x = 309,792.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.