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Finding the Fourth Proportional to 322,858.20, 483,135.30 and 204,586.20

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Solution

The fourth proportional to 322,858.20, 483,135.30 and 204,586.20 is: 306,149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,858.20 : 483,135.30 = 204,586.20 : x
  2. Step 2: Convert to fraction form
    322,858.20/483,135.30 = 204,586.20/x
  3. Step 3: Cross multiply
    322,858.20x = 483,135.30 × 204,586.20
  4. Step 4: Simplify right side
    322,858.20x = 98,842,815,112.86
  5. Step 5: Solve for x
    x = 98,842,815,112.86/322,858.20
  6. Step 6: Final answer
    x = 306,149.31

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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.