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Finding the Fourth Proportional to 396,371.35, 594,647.84 and 171,769.48

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Solution

The fourth proportional to 396,371.35, 594,647.84 and 171,769.48 is: 257,693.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,371.35 : 594,647.84 = 171,769.48 : x
  2. Step 2: Convert to fraction form
    396,371.35/594,647.84 = 171,769.48/x
  3. Step 3: Cross multiply
    396,371.35x = 594,647.84 × 171,769.48
  4. Step 4: Simplify right side
    396,371.35x = 102,142,350,259.92
  5. Step 5: Solve for x
    x = 102,142,350,259.92/396,371.35
  6. Step 6: Final answer
    x = 257,693.58

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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.