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Finding the Fourth Proportional to 311,761.12, 430,193.78 and 175,786.96

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Solution

The fourth proportional to 311,761.12, 430,193.78 and 175,786.96 is: 242,565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,761.12 : 430,193.78 = 175,786.96 : x
  2. Step 2: Convert to fraction form
    311,761.12/430,193.78 = 175,786.96/x
  3. Step 3: Cross multiply
    311,761.12x = 430,193.78 × 175,786.96
  4. Step 4: Simplify right side
    311,761.12x = 75,622,456,797.11
  5. Step 5: Solve for x
    x = 75,622,456,797.11/311,761.12
  6. Step 6: Final answer
    x = 242,565.39

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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.