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Finding the Fourth Proportional to 552,469.85, 827,165.06 and 282,016.21

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Solution

The fourth proportional to 552,469.85, 827,165.06 and 282,016.21 is: 422,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,469.85 : 827,165.06 = 282,016.21 : x
  2. Step 2: Convert to fraction form
    552,469.85/827,165.06 = 282,016.21/x
  3. Step 3: Cross multiply
    552,469.85x = 827,165.06 × 282,016.21
  4. Step 4: Simplify right side
    552,469.85x = 233,273,949,719.72
  5. Step 5: Solve for x
    x = 233,273,949,719.72/552,469.85
  6. Step 6: Final answer
    x = 422,238.34

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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.