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Finding the Fourth Proportional to 465,194.52, 641,983.94 and 261,281.38

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Solution

The fourth proportional to 465,194.52, 641,983.94 and 261,281.38 is: 360,577.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,194.52 : 641,983.94 = 261,281.38 : x
  2. Step 2: Convert to fraction form
    465,194.52/641,983.94 = 261,281.38/x
  3. Step 3: Cross multiply
    465,194.52x = 641,983.94 × 261,281.38
  4. Step 4: Simplify right side
    465,194.52x = 167,738,449,781.04
  5. Step 5: Solve for x
    x = 167,738,449,781.04/465,194.52
  6. Step 6: Final answer
    x = 360,577.01

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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.