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Finding the Fourth Proportional to 323,220.24, 484,295.76 and 165,231.36

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Solution

The fourth proportional to 323,220.24, 484,295.76 and 165,231.36 is: 247,573.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,220.24 : 484,295.76 = 165,231.36 : x
  2. Step 2: Convert to fraction form
    323,220.24/484,295.76 = 165,231.36/x
  3. Step 3: Cross multiply
    323,220.24x = 484,295.76 × 165,231.36
  4. Step 4: Simplify right side
    323,220.24x = 80,020,847,067.03
  5. Step 5: Solve for x
    x = 80,020,847,067.03/323,220.24
  6. Step 6: Final answer
    x = 247,573.75

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