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Finding the Fourth Proportional to 322,476.57, 483,713.31 and 82,590

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Solution

The fourth proportional to 322,476.57, 483,713.31 and 82,590 is: 123,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,476.57 : 483,713.31 = 82,590 : x
  2. Step 2: Convert to fraction form
    322,476.57/483,713.31 = 82,590/x
  3. Step 3: Cross multiply
    322,476.57x = 483,713.31 × 82,590
  4. Step 4: Simplify right side
    322,476.57x = 39,949,882,272.90
  5. Step 5: Solve for x
    x = 39,949,882,272.90/322,476.57
  6. Step 6: Final answer
    x = 123,884.60

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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.