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Finding the Fourth Proportional to 408,400.32, 563,549.30 and 227,082.99

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Solution

The fourth proportional to 408,400.32, 563,549.30 and 227,082.99 is: 313,350.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,400.32 : 563,549.30 = 227,082.99 : x
  2. Step 2: Convert to fraction form
    408,400.32/563,549.30 = 227,082.99/x
  3. Step 3: Cross multiply
    408,400.32x = 563,549.30 × 227,082.99
  4. Step 4: Simplify right side
    408,400.32x = 127,972,458,920.99
  5. Step 5: Solve for x
    x = 127,972,458,920.99/408,400.32
  6. Step 6: Final answer
    x = 313,350.54

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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.