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Finding the Fourth Proportional to 294,719.54, 441,414.65 and 206,367.48

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Solution

The fourth proportional to 294,719.54, 441,414.65 and 206,367.48 is: 309,085.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,719.54 : 441,414.65 = 206,367.48 : x
  2. Step 2: Convert to fraction form
    294,719.54/441,414.65 = 206,367.48/x
  3. Step 3: Cross multiply
    294,719.54x = 441,414.65 × 206,367.48
  4. Step 4: Simplify right side
    294,719.54x = 91,093,629,471.50
  5. Step 5: Solve for x
    x = 91,093,629,471.50/294,719.54
  6. Step 6: Final answer
    x = 309,085.82

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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.