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Finding the Fourth Proportional to 396,447.51, 594,665.93 and 96,930.66

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Solution

The fourth proportional to 396,447.51, 594,665.93 and 96,930.66 is: 145,394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,447.51 : 594,665.93 = 96,930.66 : x
  2. Step 2: Convert to fraction form
    396,447.51/594,665.93 = 96,930.66/x
  3. Step 3: Cross multiply
    396,447.51x = 594,665.93 × 96,930.66
  4. Step 4: Simplify right side
    396,447.51x = 57,641,361,074.41
  5. Step 5: Solve for x
    x = 57,641,361,074.41/396,447.51
  6. Step 6: Final answer
    x = 145,394.69

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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.