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Finding the Fourth Proportional to 494,798.12, 741,606.60 and 270,215

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Solution

The fourth proportional to 494,798.12, 741,606.60 and 270,215 is: 404,999.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,798.12 : 741,606.60 = 270,215 : x
  2. Step 2: Convert to fraction form
    494,798.12/741,606.60 = 270,215/x
  3. Step 3: Cross multiply
    494,798.12x = 741,606.60 × 270,215
  4. Step 4: Simplify right side
    494,798.12x = 200,393,227,419
  5. Step 5: Solve for x
    x = 200,393,227,419/494,798.12
  6. Step 6: Final answer
    x = 404,999.98

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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.