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Finding the Fourth Proportional to 331,891.50, 458,044.83 and 204,563.82

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Solution

The fourth proportional to 331,891.50, 458,044.83 and 204,563.82 is: 282,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,891.50 : 458,044.83 = 204,563.82 : x
  2. Step 2: Convert to fraction form
    331,891.50/458,044.83 = 204,563.82/x
  3. Step 3: Cross multiply
    331,891.50x = 458,044.83 × 204,563.82
  4. Step 4: Simplify right side
    331,891.50x = 93,699,400,156.05
  5. Step 5: Solve for x
    x = 93,699,400,156.05/331,891.50
  6. Step 6: Final answer
    x = 282,319.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.