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Finding the Fourth Proportional to 568,912.68, 853,083.29 and 189,699.17

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Solution

The fourth proportional to 568,912.68, 853,083.29 and 189,699.17 is: 284,453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,912.68 : 853,083.29 = 189,699.17 : x
  2. Step 2: Convert to fraction form
    568,912.68/853,083.29 = 189,699.17/x
  3. Step 3: Cross multiply
    568,912.68x = 853,083.29 × 189,699.17
  4. Step 4: Simplify right side
    568,912.68x = 161,829,188,262.70
  5. Step 5: Solve for x
    x = 161,829,188,262.70/568,912.68
  6. Step 6: Final answer
    x = 284,453.47

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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.