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Finding the Fourth Proportional to 322,474.31, 483,709.94 and 82,587.75

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Solution

The fourth proportional to 322,474.31, 483,709.94 and 82,587.75 is: 123,881.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,474.31 : 483,709.94 = 82,587.75 : x
  2. Step 2: Convert to fraction form
    322,474.31/483,709.94 = 82,587.75/x
  3. Step 3: Cross multiply
    322,474.31x = 483,709.94 × 82,587.75
  4. Step 4: Simplify right side
    322,474.31x = 39,948,513,178.69
  5. Step 5: Solve for x
    x = 39,948,513,178.69/322,474.31
  6. Step 6: Final answer
    x = 123,881.23

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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.