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Finding the Fourth Proportional to 270,884.10, 405,952.47 and 204,251.00

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Solution

The fourth proportional to 270,884.10, 405,952.47 and 204,251.00 is: 306,094.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,884.10 : 405,952.47 = 204,251.00 : x
  2. Step 2: Convert to fraction form
    270,884.10/405,952.47 = 204,251.00/x
  3. Step 3: Cross multiply
    270,884.10x = 405,952.47 × 204,251.00
  4. Step 4: Simplify right side
    270,884.10x = 82,916,195,920.21
  5. Step 5: Solve for x
    x = 82,916,195,920.21/270,884.10
  6. Step 6: Final answer
    x = 306,094.73

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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.