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Finding the Fourth Proportional to 327,725.50, 491,469.20 and 114,433.50

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Solution

The fourth proportional to 327,725.50, 491,469.20 and 114,433.50 is: 171,608.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,725.50 : 491,469.20 = 114,433.50 : x
  2. Step 2: Convert to fraction form
    327,725.50/491,469.20 = 114,433.50/x
  3. Step 3: Cross multiply
    327,725.50x = 491,469.20 × 114,433.50
  4. Step 4: Simplify right side
    327,725.50x = 56,240,540,698.20
  5. Step 5: Solve for x
    x = 56,240,540,698.20/327,725.50
  6. Step 6: Final answer
    x = 171,608.68

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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.