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Finding the Fourth Proportional to 311,682.94, 430,122.56 and 177,546.94

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Solution

The fourth proportional to 311,682.94, 430,122.56 and 177,546.94 is: 245,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,682.94 : 430,122.56 = 177,546.94 : x
  2. Step 2: Convert to fraction form
    311,682.94/430,122.56 = 177,546.94/x
  3. Step 3: Cross multiply
    311,682.94x = 430,122.56 × 177,546.94
  4. Step 4: Simplify right side
    311,682.94x = 76,366,942,389.93
  5. Step 5: Solve for x
    x = 76,366,942,389.93/311,682.94
  6. Step 6: Final answer
    x = 245,014.83

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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.