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Finding the Fourth Proportional to 568,933.26, 853,524.60 and 213,947.16

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Solution

The fourth proportional to 568,933.26, 853,524.60 and 213,947.16 is: 320,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,933.26 : 853,524.60 = 213,947.16 : x
  2. Step 2: Convert to fraction form
    568,933.26/853,524.60 = 213,947.16/x
  3. Step 3: Cross multiply
    568,933.26x = 853,524.60 × 213,947.16
  4. Step 4: Simplify right side
    568,933.26x = 182,609,164,160.14
  5. Step 5: Solve for x
    x = 182,609,164,160.14/568,933.26
  6. Step 6: Final answer
    x = 320,967.64

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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.