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Finding the Fourth Proportional to 431,735.40, 647,408.70 and 194,956.20

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Solution

The fourth proportional to 431,735.40, 647,408.70 and 194,956.20 is: 292,346.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,735.40 : 647,408.70 = 194,956.20 : x
  2. Step 2: Convert to fraction form
    431,735.40/647,408.70 = 194,956.20/x
  3. Step 3: Cross multiply
    431,735.40x = 647,408.70 × 194,956.20
  4. Step 4: Simplify right side
    431,735.40x = 126,216,339,998.94
  5. Step 5: Solve for x
    x = 126,216,339,998.94/431,735.40
  6. Step 6: Final answer
    x = 292,346.52

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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.