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Finding the Fourth Proportional to 409,059.45, 613,589.18 and 231,912.45

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Solution

The fourth proportional to 409,059.45, 613,589.18 and 231,912.45 is: 347,868.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,059.45 : 613,589.18 = 231,912.45 : x
  2. Step 2: Convert to fraction form
    409,059.45/613,589.18 = 231,912.45/x
  3. Step 3: Cross multiply
    409,059.45x = 613,589.18 × 231,912.45
  4. Step 4: Simplify right side
    409,059.45x = 142,298,968,867.73
  5. Step 5: Solve for x
    x = 142,298,968,867.73/409,059.45
  6. Step 6: Final answer
    x = 347,868.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.