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Finding the Fourth Proportional to 311,074.56, 467,078.40 and 178,104.96

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Solution

The fourth proportional to 311,074.56, 467,078.40 and 178,104.96 is: 267,424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,074.56 : 467,078.40 = 178,104.96 : x
  2. Step 2: Convert to fraction form
    311,074.56/467,078.40 = 178,104.96/x
  3. Step 3: Cross multiply
    311,074.56x = 467,078.40 × 178,104.96
  4. Step 4: Simplify right side
    311,074.56x = 83,188,979,748.86
  5. Step 5: Solve for x
    x = 83,188,979,748.86/311,074.56
  6. Step 6: Final answer
    x = 267,424.57

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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.