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Finding the Fourth Proportional to 396,584.11, 594,883.86 and 97,067.31

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Solution

The fourth proportional to 396,584.11, 594,883.86 and 97,067.31 is: 145,602.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,584.11 : 594,883.86 = 97,067.31 : x
  2. Step 2: Convert to fraction form
    396,584.11/594,883.86 = 97,067.31/x
  3. Step 3: Cross multiply
    396,584.11x = 594,883.86 × 97,067.31
  4. Step 4: Simplify right side
    396,584.11x = 57,743,776,052.62
  5. Step 5: Solve for x
    x = 57,743,776,052.62/396,584.11
  6. Step 6: Final answer
    x = 145,602.85

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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.