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Finding the Fourth Proportional to 422,372.04, 633,766.22 and 197,747.68

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Solution

The fourth proportional to 422,372.04, 633,766.22 and 197,747.68 is: 296,718.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,372.04 : 633,766.22 = 197,747.68 : x
  2. Step 2: Convert to fraction form
    422,372.04/633,766.22 = 197,747.68/x
  3. Step 3: Cross multiply
    422,372.04x = 633,766.22 × 197,747.68
  4. Step 4: Simplify right side
    422,372.04x = 125,325,799,667.37
  5. Step 5: Solve for x
    x = 125,325,799,667.37/422,372.04
  6. Step 6: Final answer
    x = 296,718.98

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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.