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Finding the Fourth Proportional to 311,682.20, 430,121.52 and 177,546.20

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Solution

The fourth proportional to 311,682.20, 430,121.52 and 177,546.20 is: 245,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,682.20 : 430,121.52 = 177,546.20 : x
  2. Step 2: Convert to fraction form
    311,682.20/430,121.52 = 177,546.20/x
  3. Step 3: Cross multiply
    311,682.20x = 430,121.52 × 177,546.20
  4. Step 4: Simplify right side
    311,682.20x = 76,366,439,263.62
  5. Step 5: Solve for x
    x = 76,366,439,263.62/311,682.20
  6. Step 6: Final answer
    x = 245,013.80

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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.