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Finding the Fourth Proportional to 568,911.96, 853,082.24 and 189,698.46

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Solution

The fourth proportional to 568,911.96, 853,082.24 and 189,698.46 is: 284,452.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,911.96 : 853,082.24 = 189,698.46 : x
  2. Step 2: Convert to fraction form
    568,911.96/853,082.24 = 189,698.46/x
  3. Step 3: Cross multiply
    568,911.96x = 853,082.24 × 189,698.46
  4. Step 4: Simplify right side
    568,911.96x = 161,828,387,181.35
  5. Step 5: Solve for x
    x = 161,828,387,181.35/568,911.96
  6. Step 6: Final answer
    x = 284,452.43

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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.