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Finding the Fourth Proportional to 275,410.39, 413,035.57 and 115,481.92

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Solution

The fourth proportional to 275,410.39, 413,035.57 and 115,481.92 is: 173,189.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,410.39 : 413,035.57 = 115,481.92 : x
  2. Step 2: Convert to fraction form
    275,410.39/413,035.57 = 115,481.92/x
  3. Step 3: Cross multiply
    275,410.39x = 413,035.57 × 115,481.92
  4. Step 4: Simplify right side
    275,410.39x = 47,698,138,308.42
  5. Step 5: Solve for x
    x = 47,698,138,308.42/275,410.39
  6. Step 6: Final answer
    x = 173,189.32

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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.