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Finding the Fourth Proportional to 422,489.54, 633,734.78 and 106,946.44

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Solution

The fourth proportional to 422,489.54, 633,734.78 and 106,946.44 is: 160,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,489.54 : 633,734.78 = 106,946.44 : x
  2. Step 2: Convert to fraction form
    422,489.54/633,734.78 = 106,946.44/x
  3. Step 3: Cross multiply
    422,489.54x = 633,734.78 × 106,946.44
  4. Step 4: Simplify right side
    422,489.54x = 67,775,678,625.18
  5. Step 5: Solve for x
    x = 67,775,678,625.18/422,489.54
  6. Step 6: Final answer
    x = 160,419.78

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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.