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Finding the Fourth Proportional to 465,311.14, 641,965.82 and 304,260.46

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Solution

The fourth proportional to 465,311.14, 641,965.82 and 304,260.46 is: 419,772.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,311.14 : 641,965.82 = 304,260.46 : x
  2. Step 2: Convert to fraction form
    465,311.14/641,965.82 = 304,260.46/x
  3. Step 3: Cross multiply
    465,311.14x = 641,965.82 × 304,260.46
  4. Step 4: Simplify right side
    465,311.14x = 195,324,815,697.48
  5. Step 5: Solve for x
    x = 195,324,815,697.48/465,311.14
  6. Step 6: Final answer
    x = 419,772.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.