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Finding the Fourth Proportional to 465,296.19, 641,945.22 and 304,245.51

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Solution

The fourth proportional to 465,296.19, 641,945.22 and 304,245.51 is: 419,751.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,296.19 : 641,945.22 = 304,245.51 : x
  2. Step 2: Convert to fraction form
    465,296.19/641,945.22 = 304,245.51/x
  3. Step 3: Cross multiply
    465,296.19x = 641,945.22 × 304,245.51
  4. Step 4: Simplify right side
    465,296.19x = 195,308,950,850.96
  5. Step 5: Solve for x
    x = 195,308,950,850.96/465,296.19
  6. Step 6: Final answer
    x = 419,751.88

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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.