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Finding the Fourth Proportional to 264,147.68, 396,049.20 and 173,917.28

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Solution

The fourth proportional to 264,147.68, 396,049.20 and 173,917.28 is: 260,762.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,147.68 : 396,049.20 = 173,917.28 : x
  2. Step 2: Convert to fraction form
    264,147.68/396,049.20 = 173,917.28/x
  3. Step 3: Cross multiply
    264,147.68x = 396,049.20 × 173,917.28
  4. Step 4: Simplify right side
    264,147.68x = 68,879,797,720.33
  5. Step 5: Solve for x
    x = 68,879,797,720.33/264,147.68
  6. Step 6: Final answer
    x = 260,762.45

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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.