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Finding the Fourth Proportional to 422,481.11, 633,722.10 and 106,938

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Solution

The fourth proportional to 422,481.11, 633,722.10 and 106,938 is: 160,407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,481.11 : 633,722.10 = 106,938 : x
  2. Step 2: Convert to fraction form
    422,481.11/633,722.10 = 106,938/x
  3. Step 3: Cross multiply
    422,481.11x = 633,722.10 × 106,938
  4. Step 4: Simplify right side
    422,481.11x = 67,768,973,929.80
  5. Step 5: Solve for x
    x = 67,768,973,929.80/422,481.11
  6. Step 6: Final answer
    x = 160,407.11

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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.