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Finding the Fourth Proportional to 317,229.62, 475,654.34 and 100,994.90

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Solution

The fourth proportional to 317,229.62, 475,654.34 and 100,994.90 is: 151,431.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,229.62 : 475,654.34 = 100,994.90 : x
  2. Step 2: Convert to fraction form
    317,229.62/475,654.34 = 100,994.90/x
  3. Step 3: Cross multiply
    317,229.62x = 475,654.34 × 100,994.90
  4. Step 4: Simplify right side
    317,229.62x = 48,038,660,377.08
  5. Step 5: Solve for x
    x = 48,038,660,377.08/317,229.62
  6. Step 6: Final answer
    x = 151,431.83

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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.