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Finding the Fourth Proportional to 465,841.82, 642,884.49 and 261,956.90

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Solution

The fourth proportional to 465,841.82, 642,884.49 and 261,956.90 is: 361,513.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,841.82 : 642,884.49 = 261,956.90 : x
  2. Step 2: Convert to fraction form
    465,841.82/642,884.49 = 261,956.90/x
  3. Step 3: Cross multiply
    465,841.82x = 642,884.49 × 261,956.90
  4. Step 4: Simplify right side
    465,841.82x = 168,408,024,844.06
  5. Step 5: Solve for x
    x = 168,408,024,844.06/465,841.82
  6. Step 6: Final answer
    x = 361,513.33

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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.