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Finding the Fourth Proportional to 396,029.72, 594,034.77 and 115,549.40

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Solution

The fourth proportional to 396,029.72, 594,034.77 and 115,549.40 is: 173,321.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,029.72 : 594,034.77 = 115,549.40 : x
  2. Step 2: Convert to fraction form
    396,029.72/594,034.77 = 115,549.40/x
  3. Step 3: Cross multiply
    396,029.72x = 594,034.77 × 115,549.40
  4. Step 4: Simplify right side
    396,029.72x = 68,640,361,252.64
  5. Step 5: Solve for x
    x = 68,640,361,252.64/396,029.72
  6. Step 6: Final answer
    x = 173,321.24

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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.