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Finding the Fourth Proportional to 323,517.70, 485,276.55 and 205,711.30

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Solution

The fourth proportional to 323,517.70, 485,276.55 and 205,711.30 is: 308,566.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,517.70 : 485,276.55 = 205,711.30 : x
  2. Step 2: Convert to fraction form
    323,517.70/485,276.55 = 205,711.30/x
  3. Step 3: Cross multiply
    323,517.70x = 485,276.55 × 205,711.30
  4. Step 4: Simplify right side
    323,517.70x = 99,826,869,960.02
  5. Step 5: Solve for x
    x = 99,826,869,960.02/323,517.70
  6. Step 6: Final answer
    x = 308,566.95

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Why These Related Problems?

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