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Finding the Fourth Proportional to 275,489.14, 413,393.27 and 115,550.86

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Solution

The fourth proportional to 275,489.14, 413,393.27 and 115,550.86 is: 173,393.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,489.14 : 413,393.27 = 115,550.86 : x
  2. Step 2: Convert to fraction form
    275,489.14/413,393.27 = 115,550.86/x
  3. Step 3: Cross multiply
    275,489.14x = 413,393.27 × 115,550.86
  4. Step 4: Simplify right side
    275,489.14x = 47,767,947,866.71
  5. Step 5: Solve for x
    x = 47,767,947,866.71/275,489.14
  6. Step 6: Final answer
    x = 173,393.22

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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.