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Finding the Fourth Proportional to 322,472.75, 483,707.60 and 82,586.18

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Solution

The fourth proportional to 322,472.75, 483,707.60 and 82,586.18 is: 123,878.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,472.75 : 483,707.60 = 82,586.18 : x
  2. Step 2: Convert to fraction form
    322,472.75/483,707.60 = 82,586.18/x
  3. Step 3: Cross multiply
    322,472.75x = 483,707.60 × 82,586.18
  4. Step 4: Simplify right side
    322,472.75x = 39,947,564,027.00
  5. Step 5: Solve for x
    x = 39,947,564,027.00/322,472.75
  6. Step 6: Final answer
    x = 123,878.88

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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.