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Finding the Fourth Proportional to 396,470.86, 594,822.93 and 159,691.66

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Solution

The fourth proportional to 396,470.86, 594,822.93 and 159,691.66 is: 239,584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,470.86 : 594,822.93 = 159,691.66 : x
  2. Step 2: Convert to fraction form
    396,470.86/594,822.93 = 159,691.66/x
  3. Step 3: Cross multiply
    396,470.86x = 594,822.93 × 159,691.66
  4. Step 4: Simplify right side
    396,470.86x = 94,988,261,097.76
  5. Step 5: Solve for x
    x = 94,988,261,097.76/396,470.86
  6. Step 6: Final answer
    x = 239,584.47

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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.