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Finding the Fourth Proportional to 367,404.16, 551,310.36 and 198,922

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Solution

The fourth proportional to 367,404.16, 551,310.36 and 198,922 is: 298,493.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,404.16 : 551,310.36 = 198,922 : x
  2. Step 2: Convert to fraction form
    367,404.16/551,310.36 = 198,922/x
  3. Step 3: Cross multiply
    367,404.16x = 551,310.36 × 198,922
  4. Step 4: Simplify right side
    367,404.16x = 109,667,759,431.92
  5. Step 5: Solve for x
    x = 109,667,759,431.92/367,404.16
  6. Step 6: Final answer
    x = 298,493.52

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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.