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Finding the Fourth Proportional to 568,909.97, 853,079.24 and 189,696.45

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Solution

The fourth proportional to 568,909.97, 853,079.24 and 189,696.45 is: 284,449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,909.97 : 853,079.24 = 189,696.45 : x
  2. Step 2: Convert to fraction form
    568,909.97/853,079.24 = 189,696.45/x
  3. Step 3: Cross multiply
    568,909.97x = 853,079.24 × 189,696.45
  4. Step 4: Simplify right side
    568,909.97x = 161,826,102,448.22
  5. Step 5: Solve for x
    x = 161,826,102,448.22/568,909.97
  6. Step 6: Final answer
    x = 284,449.41

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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.