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Finding the Fourth Proportional to 538,770.28, 743,229.84 and 411,224.44

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Solution

The fourth proportional to 538,770.28, 743,229.84 and 411,224.44 is: 567,281.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,770.28 : 743,229.84 = 411,224.44 : x
  2. Step 2: Convert to fraction form
    538,770.28/743,229.84 = 411,224.44/x
  3. Step 3: Cross multiply
    538,770.28x = 743,229.84 × 411,224.44
  4. Step 4: Simplify right side
    538,770.28x = 305,634,274,745.29
  5. Step 5: Solve for x
    x = 305,634,274,745.29/538,770.28
  6. Step 6: Final answer
    x = 567,281.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.