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Finding the Fourth Proportional to 465,229.38, 641,710.36 and 335,952.57

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Solution

The fourth proportional to 465,229.38, 641,710.36 and 335,952.57 is: 463,393.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,229.38 : 641,710.36 = 335,952.57 : x
  2. Step 2: Convert to fraction form
    465,229.38/641,710.36 = 335,952.57/x
  3. Step 3: Cross multiply
    465,229.38x = 641,710.36 × 335,952.57
  4. Step 4: Simplify right side
    465,229.38x = 215,584,239,749.31
  5. Step 5: Solve for x
    x = 215,584,239,749.31/465,229.38
  6. Step 6: Final answer
    x = 463,393.44

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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.