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Finding the Fourth Proportional to 323,231.44, 484,684.92 and 188,339.12

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Solution

The fourth proportional to 323,231.44, 484,684.92 and 188,339.12 is: 282,414.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,231.44 : 484,684.92 = 188,339.12 : x
  2. Step 2: Convert to fraction form
    323,231.44/484,684.92 = 188,339.12/x
  3. Step 3: Cross multiply
    323,231.44x = 484,684.92 × 188,339.12
  4. Step 4: Simplify right side
    323,231.44x = 91,285,131,310.07
  5. Step 5: Solve for x
    x = 91,285,131,310.07/323,231.44
  6. Step 6: Final answer
    x = 282,414.15

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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.