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Finding the Fourth Proportional to 396,469.86, 594,821.43 and 159,690.66

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Solution

The fourth proportional to 396,469.86, 594,821.43 and 159,690.66 is: 239,582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,469.86 : 594,821.43 = 159,690.66 : x
  2. Step 2: Convert to fraction form
    396,469.86/594,821.43 = 159,690.66/x
  3. Step 3: Cross multiply
    396,469.86x = 594,821.43 × 159,690.66
  4. Step 4: Simplify right side
    396,469.86x = 94,987,426,738.84
  5. Step 5: Solve for x
    x = 94,987,426,738.84/396,469.86
  6. Step 6: Final answer
    x = 239,582.97

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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.