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Finding the Fourth Proportional to 465,201.38, 641,976.09 and 261,223.94

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Solution

The fourth proportional to 465,201.38, 641,976.09 and 261,223.94 is: 360,488.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,201.38 : 641,976.09 = 261,223.94 : x
  2. Step 2: Convert to fraction form
    465,201.38/641,976.09 = 261,223.94/x
  3. Step 3: Cross multiply
    465,201.38x = 641,976.09 × 261,223.94
  4. Step 4: Simplify right side
    465,201.38x = 167,699,523,615.60
  5. Step 5: Solve for x
    x = 167,699,523,615.60/465,201.38
  6. Step 6: Final answer
    x = 360,488.02

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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.