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Finding the Fourth Proportional to 408,327.24, 563,453.10 and 378,234.12

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Solution

The fourth proportional to 408,327.24, 563,453.10 and 378,234.12 is: 521,927.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,327.24 : 563,453.10 = 378,234.12 : x
  2. Step 2: Convert to fraction form
    408,327.24/563,453.10 = 378,234.12/x
  3. Step 3: Cross multiply
    408,327.24x = 563,453.10 × 378,234.12
  4. Step 4: Simplify right side
    408,327.24x = 213,117,187,439.77
  5. Step 5: Solve for x
    x = 213,117,187,439.77/408,327.24
  6. Step 6: Final answer
    x = 521,927.43

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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.