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Finding the Fourth Proportional to 295,292.39, 442,273.82 and 206,940.32

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Solution

The fourth proportional to 295,292.39, 442,273.82 and 206,940.32 is: 309,944.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,292.39 : 442,273.82 = 206,940.32 : x
  2. Step 2: Convert to fraction form
    295,292.39/442,273.82 = 206,940.32/x
  3. Step 3: Cross multiply
    295,292.39x = 442,273.82 × 206,940.32
  4. Step 4: Simplify right side
    295,292.39x = 91,524,285,414.92
  5. Step 5: Solve for x
    x = 91,524,285,414.92/295,292.39
  6. Step 6: Final answer
    x = 309,944.62

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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.