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Finding the Fourth Proportional to 298,067.73, 411,125.27 and 202,408.35

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Solution

The fourth proportional to 298,067.73, 411,125.27 and 202,408.35 is: 279,182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,067.73 : 411,125.27 = 202,408.35 : x
  2. Step 2: Convert to fraction form
    298,067.73/411,125.27 = 202,408.35/x
  3. Step 3: Cross multiply
    298,067.73x = 411,125.27 × 202,408.35
  4. Step 4: Simplify right side
    298,067.73x = 83,215,186,531.96
  5. Step 5: Solve for x
    x = 83,215,186,531.96/298,067.73
  6. Step 6: Final answer
    x = 279,182.14

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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.