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Finding the Fourth Proportional to 408,441.24, 563,605.74 and 227,123.88

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Solution

The fourth proportional to 408,441.24, 563,605.74 and 227,123.88 is: 313,406.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,441.24 : 563,605.74 = 227,123.88 : x
  2. Step 2: Convert to fraction form
    408,441.24/563,605.74 = 227,123.88/x
  3. Step 3: Cross multiply
    408,441.24x = 563,605.74 × 227,123.88
  4. Step 4: Simplify right side
    408,441.24x = 128,008,322,459.07
  5. Step 5: Solve for x
    x = 128,008,322,459.07/408,441.24
  6. Step 6: Final answer
    x = 313,406.95

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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.