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Finding the Fourth Proportional to 259,384.20, 389,076.30 and 206,896.20

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Solution

The fourth proportional to 259,384.20, 389,076.30 and 206,896.20 is: 310,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,384.20 : 389,076.30 = 206,896.20 : x
  2. Step 2: Convert to fraction form
    259,384.20/389,076.30 = 206,896.20/x
  3. Step 3: Cross multiply
    259,384.20x = 389,076.30 × 206,896.20
  4. Step 4: Simplify right side
    259,384.20x = 80,498,407,980.06
  5. Step 5: Solve for x
    x = 80,498,407,980.06/259,384.20
  6. Step 6: Final answer
    x = 310,344.30

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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.