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Finding the Fourth Proportional to 452,204.64, 678,290.22 and 182,449.44

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Solution

The fourth proportional to 452,204.64, 678,290.22 and 182,449.44 is: 273,667.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,204.64 : 678,290.22 = 182,449.44 : x
  2. Step 2: Convert to fraction form
    452,204.64/678,290.22 = 182,449.44/x
  3. Step 3: Cross multiply
    452,204.64x = 678,290.22 × 182,449.44
  4. Step 4: Simplify right side
    452,204.64x = 123,753,670,796.48
  5. Step 5: Solve for x
    x = 123,753,670,796.48/452,204.64
  6. Step 6: Final answer
    x = 273,667.41

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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.