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Finding the Fourth Proportional to 392,584.56, 541,766.64 and 213,736.56

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Solution

The fourth proportional to 392,584.56, 541,766.64 and 213,736.56 is: 294,956.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,584.56 : 541,766.64 = 213,736.56 : x
  2. Step 2: Convert to fraction form
    392,584.56/541,766.64 = 213,736.56/x
  3. Step 3: Cross multiply
    392,584.56x = 541,766.64 × 213,736.56
  4. Step 4: Simplify right side
    392,584.56x = 115,795,337,956.36
  5. Step 5: Solve for x
    x = 115,795,337,956.36/392,584.56
  6. Step 6: Final answer
    x = 294,956.42

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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.