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Finding the Fourth Proportional to 422,220.88, 633,263.28 and 185,519.44

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Solution

The fourth proportional to 422,220.88, 633,263.28 and 185,519.44 is: 278,249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,220.88 : 633,263.28 = 185,519.44 : x
  2. Step 2: Convert to fraction form
    422,220.88/633,263.28 = 185,519.44/x
  3. Step 3: Cross multiply
    422,220.88x = 633,263.28 × 185,519.44
  4. Step 4: Simplify right side
    422,220.88x = 117,482,649,078.16
  5. Step 5: Solve for x
    x = 117,482,649,078.16/422,220.88
  6. Step 6: Final answer
    x = 278,249.26

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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.