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Finding the Fourth Proportional to 422,012.63, 633,016.22 and 106,469.84

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Solution

The fourth proportional to 422,012.63, 633,016.22 and 106,469.84 is: 159,704.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,012.63 : 633,016.22 = 106,469.84 : x
  2. Step 2: Convert to fraction form
    422,012.63/633,016.22 = 106,469.84/x
  3. Step 3: Cross multiply
    422,012.63x = 633,016.22 × 106,469.84
  4. Step 4: Simplify right side
    422,012.63x = 67,397,136,711.00
  5. Step 5: Solve for x
    x = 67,397,136,711.00/422,012.63
  6. Step 6: Final answer
    x = 159,704.07

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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.