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Finding the Fourth Proportional to 492,057.70, 738,086.55 and 450,067.30

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Solution

The fourth proportional to 492,057.70, 738,086.55 and 450,067.30 is: 675,100.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,057.70 : 738,086.55 = 450,067.30 : x
  2. Step 2: Convert to fraction form
    492,057.70/738,086.55 = 450,067.30/x
  3. Step 3: Cross multiply
    492,057.70x = 738,086.55 × 450,067.30
  4. Step 4: Simplify right side
    492,057.70x = 332,188,620,724.82
  5. Step 5: Solve for x
    x = 332,188,620,724.82/492,057.70
  6. Step 6: Final answer
    x = 675,100.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.