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Finding the Fourth Proportional to 311,134.20, 465,923.70 and 205,380.60

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Solution

The fourth proportional to 311,134.20, 465,923.70 and 205,380.60 is: 307,557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,134.20 : 465,923.70 = 205,380.60 : x
  2. Step 2: Convert to fraction form
    311,134.20/465,923.70 = 205,380.60/x
  3. Step 3: Cross multiply
    311,134.20x = 465,923.70 × 205,380.60
  4. Step 4: Simplify right side
    311,134.20x = 95,691,689,060.22
  5. Step 5: Solve for x
    x = 95,691,689,060.22/311,134.20
  6. Step 6: Final answer
    x = 307,557.60

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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.