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Finding the Fourth Proportional to 298,067.48, 411,124.92 and 202,408.10

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Solution

The fourth proportional to 298,067.48, 411,124.92 and 202,408.10 is: 279,181.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,067.48 : 411,124.92 = 202,408.10 : x
  2. Step 2: Convert to fraction form
    298,067.48/411,124.92 = 202,408.10/x
  3. Step 3: Cross multiply
    298,067.48x = 411,124.92 × 202,408.10
  4. Step 4: Simplify right side
    298,067.48x = 83,215,013,919.85
  5. Step 5: Solve for x
    x = 83,215,013,919.85/298,067.48
  6. Step 6: Final answer
    x = 279,181.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.