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Finding the Fourth Proportional to 396,711, 595,066.50 and 101,223

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Solution

The fourth proportional to 396,711, 595,066.50 and 101,223 is: 151,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,711 : 595,066.50 = 101,223 : x
  2. Step 2: Convert to fraction form
    396,711/595,066.50 = 101,223/x
  3. Step 3: Cross multiply
    396,711x = 595,066.50 × 101,223
  4. Step 4: Simplify right side
    396,711x = 60,234,416,329.50
  5. Step 5: Solve for x
    x = 60,234,416,329.50/396,711
  6. Step 6: Final answer
    x = 151,834.50

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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.