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Finding the Fourth Proportional to 396,476.28, 594,709.20 and 96,959.34

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Solution

The fourth proportional to 396,476.28, 594,709.20 and 96,959.34 is: 145,437.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,476.28 : 594,709.20 = 96,959.34 : x
  2. Step 2: Convert to fraction form
    396,476.28/594,709.20 = 96,959.34/x
  3. Step 3: Cross multiply
    396,476.28x = 594,709.20 × 96,959.34
  4. Step 4: Simplify right side
    396,476.28x = 57,662,611,523.93
  5. Step 5: Solve for x
    x = 57,662,611,523.93/396,476.28
  6. Step 6: Final answer
    x = 145,437.73

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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.