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Finding the Fourth Proportional to 422,012.88, 633,016.59 and 106,470.09

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Solution

The fourth proportional to 422,012.88, 633,016.59 and 106,470.09 is: 159,704.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,012.88 : 633,016.59 = 106,470.09 : x
  2. Step 2: Convert to fraction form
    422,012.88/633,016.59 = 106,470.09/x
  3. Step 3: Cross multiply
    422,012.88x = 633,016.59 × 106,470.09
  4. Step 4: Simplify right side
    422,012.88x = 67,397,334,891.33
  5. Step 5: Solve for x
    x = 67,397,334,891.33/422,012.88
  6. Step 6: Final answer
    x = 159,704.45

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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.