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Finding the Fourth Proportional to 396,425.44, 594,632.94 and 96,908.64

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Solution

The fourth proportional to 396,425.44, 594,632.94 and 96,908.64 is: 145,361.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,425.44 : 594,632.94 = 96,908.64 : x
  2. Step 2: Convert to fraction form
    396,425.44/594,632.94 = 96,908.64/x
  3. Step 3: Cross multiply
    396,425.44x = 594,632.94 × 96,908.64
  4. Step 4: Simplify right side
    396,425.44x = 57,625,069,514.60
  5. Step 5: Solve for x
    x = 57,625,069,514.60/396,425.44
  6. Step 6: Final answer
    x = 145,361.68

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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.