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Finding the Fourth Proportional to 271,728.10, 408,029.55 and 205,243.30

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Solution

The fourth proportional to 271,728.10, 408,029.55 and 205,243.30 is: 308,195.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,728.10 : 408,029.55 = 205,243.30 : x
  2. Step 2: Convert to fraction form
    271,728.10/408,029.55 = 205,243.30/x
  3. Step 3: Cross multiply
    271,728.10x = 408,029.55 × 205,243.30
  4. Step 4: Simplify right side
    271,728.10x = 83,745,331,339.52
  5. Step 5: Solve for x
    x = 83,745,331,339.52/271,728.10
  6. Step 6: Final answer
    x = 308,195.33

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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.