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Finding the Fourth Proportional to 422,809.50, 634,251.14 and 107,266.41

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Solution

The fourth proportional to 422,809.50, 634,251.14 and 107,266.41 is: 160,908.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,809.50 : 634,251.14 = 107,266.41 : x
  2. Step 2: Convert to fraction form
    422,809.50/634,251.14 = 107,266.41/x
  3. Step 3: Cross multiply
    422,809.50x = 634,251.14 × 107,266.41
  4. Step 4: Simplify right side
    422,809.50x = 68,033,842,289.88
  5. Step 5: Solve for x
    x = 68,033,842,289.88/422,809.50
  6. Step 6: Final answer
    x = 160,908.97

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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.