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Finding the Fourth Proportional to 465,301.65, 641,952.75 and 304,250.97

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Solution

The fourth proportional to 465,301.65, 641,952.75 and 304,250.97 is: 419,759.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,301.65 : 641,952.75 = 304,250.97 : x
  2. Step 2: Convert to fraction form
    465,301.65/641,952.75 = 304,250.97/x
  3. Step 3: Cross multiply
    465,301.65x = 641,952.75 × 304,250.97
  4. Step 4: Simplify right side
    465,301.65x = 195,314,746,881.67
  5. Step 5: Solve for x
    x = 195,314,746,881.67/465,301.65
  6. Step 6: Final answer
    x = 419,759.41

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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.