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Finding the Fourth Proportional to 396,001.44, 593,996.09 and 96,482.61

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Solution

The fourth proportional to 396,001.44, 593,996.09 and 96,482.61 is: 144,722.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,001.44 : 593,996.09 = 96,482.61 : x
  2. Step 2: Convert to fraction form
    396,001.44/593,996.09 = 96,482.61/x
  3. Step 3: Cross multiply
    396,001.44x = 593,996.09 × 96,482.61
  4. Step 4: Simplify right side
    396,001.44x = 57,310,292,610.58
  5. Step 5: Solve for x
    x = 57,310,292,610.58/396,001.44
  6. Step 6: Final answer
    x = 144,722.43

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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.