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Finding the Fourth Proportional to 259,394.20, 389,091.30 and 206,906.20

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Solution

The fourth proportional to 259,394.20, 389,091.30 and 206,906.20 is: 310,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,394.20 : 389,091.30 = 206,906.20 : x
  2. Step 2: Convert to fraction form
    259,394.20/389,091.30 = 206,906.20/x
  3. Step 3: Cross multiply
    259,394.20x = 389,091.30 × 206,906.20
  4. Step 4: Simplify right side
    259,394.20x = 80,505,402,336.06
  5. Step 5: Solve for x
    x = 80,505,402,336.06/259,394.20
  6. Step 6: Final answer
    x = 310,359.30

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1.5x scale

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.