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Finding the Fourth Proportional to 396,223.20, 594,411.60 and 199,231.20

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Solution

The fourth proportional to 396,223.20, 594,411.60 and 199,231.20 is: 298,885.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,223.20 : 594,411.60 = 199,231.20 : x
  2. Step 2: Convert to fraction form
    396,223.20/594,411.60 = 199,231.20/x
  3. Step 3: Cross multiply
    396,223.20x = 594,411.60 × 199,231.20
  4. Step 4: Simplify right side
    396,223.20x = 118,425,336,361.92
  5. Step 5: Solve for x
    x = 118,425,336,361.92/396,223.20
  6. Step 6: Final answer
    x = 298,885.42

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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.