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Finding the Fourth Proportional to 396,265.68, 594,631.80 and 147,122.64

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Solution

The fourth proportional to 396,265.68, 594,631.80 and 147,122.64 is: 220,770.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,265.68 : 594,631.80 = 147,122.64 : x
  2. Step 2: Convert to fraction form
    396,265.68/594,631.80 = 147,122.64/x
  3. Step 3: Cross multiply
    396,265.68x = 594,631.80 × 147,122.64
  4. Step 4: Simplify right side
    396,265.68x = 87,483,800,243.95
  5. Step 5: Solve for x
    x = 87,483,800,243.95/396,265.68
  6. Step 6: Final answer
    x = 220,770.57

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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.