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Finding the Fourth Proportional to 264,992.54, 397,491.24 and 75,452.78

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Solution

The fourth proportional to 264,992.54, 397,491.24 and 75,452.78 is: 113,179.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,992.54 : 397,491.24 = 75,452.78 : x
  2. Step 2: Convert to fraction form
    264,992.54/397,491.24 = 75,452.78/x
  3. Step 3: Cross multiply
    264,992.54x = 397,491.24 × 75,452.78
  4. Step 4: Simplify right side
    264,992.54x = 29,991,819,083.65
  5. Step 5: Solve for x
    x = 29,991,819,083.65/264,992.54
  6. Step 6: Final answer
    x = 113,179.86

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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.