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Finding the Fourth Proportional to 422,786.44, 633,334.68 and 254,214.46

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Solution

The fourth proportional to 422,786.44, 633,334.68 and 254,214.46 is: 380,813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,786.44 : 633,334.68 = 254,214.46 : x
  2. Step 2: Convert to fraction form
    422,786.44/633,334.68 = 254,214.46/x
  3. Step 3: Cross multiply
    422,786.44x = 633,334.68 × 254,214.46
  4. Step 4: Simplify right side
    422,786.44x = 161,002,830,508.80
  5. Step 5: Solve for x
    x = 161,002,830,508.80/422,786.44
  6. Step 6: Final answer
    x = 380,813.61

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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.