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Finding the Fourth Proportional to 275,509.48, 413,332.86 and 78,517.48

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Solution

The fourth proportional to 275,509.48, 413,332.86 and 78,517.48 is: 117,795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,509.48 : 413,332.86 = 78,517.48 : x
  2. Step 2: Convert to fraction form
    275,509.48/413,332.86 = 78,517.48/x
  3. Step 3: Cross multiply
    275,509.48x = 413,332.86 × 78,517.48
  4. Step 4: Simplify right side
    275,509.48x = 32,453,854,568.39
  5. Step 5: Solve for x
    x = 32,453,854,568.39/275,509.48
  6. Step 6: Final answer
    x = 117,795.78

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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.