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Finding the Fourth Proportional to 322,475.57, 483,711.81 and 82,589.00

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Solution

The fourth proportional to 322,475.57, 483,711.81 and 82,589.00 is: 123,883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,475.57 : 483,711.81 = 82,589.00 : x
  2. Step 2: Convert to fraction form
    322,475.57/483,711.81 = 82,589.00/x
  3. Step 3: Cross multiply
    322,475.57x = 483,711.81 × 82,589.00
  4. Step 4: Simplify right side
    322,475.57x = 39,949,272,257.53
  5. Step 5: Solve for x
    x = 39,949,272,257.53/322,475.57
  6. Step 6: Final answer
    x = 123,883.10

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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.