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Finding the Fourth Proportional to 396,422.81, 594,629.03 and 96,906.00

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Solution

The fourth proportional to 396,422.81, 594,629.03 and 96,906.00 is: 145,357.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,422.81 : 594,629.03 = 96,906.00 : x
  2. Step 2: Convert to fraction form
    396,422.81/594,629.03 = 96,906.00/x
  3. Step 3: Cross multiply
    396,422.81x = 594,629.03 × 96,906.00
  4. Step 4: Simplify right side
    396,422.81x = 57,623,123,253.30
  5. Step 5: Solve for x
    x = 57,623,123,253.30/396,422.81
  6. Step 6: Final answer
    x = 145,357.74

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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.