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Finding the Fourth Proportional to 275,488.14, 413,391.77 and 115,549.86

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Solution

The fourth proportional to 275,488.14, 413,391.77 and 115,549.86 is: 173,391.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,488.14 : 413,391.77 = 115,549.86 : x
  2. Step 2: Convert to fraction form
    275,488.14/413,391.77 = 115,549.86/x
  3. Step 3: Cross multiply
    275,488.14x = 413,391.77 × 115,549.86
  4. Step 4: Simplify right side
    275,488.14x = 47,767,361,148.65
  5. Step 5: Solve for x
    x = 47,767,361,148.65/275,488.14
  6. Step 6: Final answer
    x = 173,391.72

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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.