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Finding the Fourth Proportional to 494,796.12, 741,603.60 and 270,213

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Solution

The fourth proportional to 494,796.12, 741,603.60 and 270,213 is: 404,996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,796.12 : 741,603.60 = 270,213 : x
  2. Step 2: Convert to fraction form
    494,796.12/741,603.60 = 270,213/x
  3. Step 3: Cross multiply
    494,796.12x = 741,603.60 × 270,213
  4. Step 4: Simplify right side
    494,796.12x = 200,390,933,566.80
  5. Step 5: Solve for x
    x = 200,390,933,566.80/494,796.12
  6. Step 6: Final answer
    x = 404,996.98

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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.