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Finding the Fourth Proportional to 568,914.80, 853,708.87 and 209,338.16

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Solution

The fourth proportional to 568,914.80, 853,708.87 and 209,338.16 is: 314,131.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,914.80 : 853,708.87 = 209,338.16 : x
  2. Step 2: Convert to fraction form
    568,914.80/853,708.87 = 209,338.16/x
  3. Step 3: Cross multiply
    568,914.80x = 853,708.87 × 209,338.16
  4. Step 4: Simplify right side
    568,914.80x = 178,713,839,229.59
  5. Step 5: Solve for x
    x = 178,713,839,229.59/568,914.80
  6. Step 6: Final answer
    x = 314,131.11

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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.