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Finding the Fourth Proportional to 465,300.65, 641,951.37 and 304,249.97

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Solution

The fourth proportional to 465,300.65, 641,951.37 and 304,249.97 is: 419,758.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,300.65 : 641,951.37 = 304,249.97 : x
  2. Step 2: Convert to fraction form
    465,300.65/641,951.37 = 304,249.97/x
  3. Step 3: Cross multiply
    465,300.65x = 641,951.37 × 304,249.97
  4. Step 4: Simplify right side
    465,300.65x = 195,313,681,854.20
  5. Step 5: Solve for x
    x = 195,313,681,854.20/465,300.65
  6. Step 6: Final answer
    x = 419,758.03

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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.