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Finding the Fourth Proportional to 465,843.82, 642,887.25 and 261,958.90

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Solution

The fourth proportional to 465,843.82, 642,887.25 and 261,958.90 is: 361,516.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,843.82 : 642,887.25 = 261,958.90 : x
  2. Step 2: Convert to fraction form
    465,843.82/642,887.25 = 261,958.90/x
  3. Step 3: Cross multiply
    465,843.82x = 642,887.25 × 261,958.90
  4. Step 4: Simplify right side
    465,843.82x = 168,410,036,834.03
  5. Step 5: Solve for x
    x = 168,410,036,834.03/465,843.82
  6. Step 6: Final answer
    x = 361,516.09

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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.