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Finding the Fourth Proportional to 322,469.53, 483,898.70 and 112,255.09

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Solution

The fourth proportional to 322,469.53, 483,898.70 and 112,255.09 is: 168,450.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,469.53 : 483,898.70 = 112,255.09 : x
  2. Step 2: Convert to fraction form
    322,469.53/483,898.70 = 112,255.09/x
  3. Step 3: Cross multiply
    322,469.53x = 483,898.70 × 112,255.09
  4. Step 4: Simplify right side
    322,469.53x = 54,320,091,190.27
  5. Step 5: Solve for x
    x = 54,320,091,190.27/322,469.53
  6. Step 6: Final answer
    x = 168,450.31

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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.