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Finding the Fourth Proportional to 568,910.97, 853,080.74 and 189,697.45

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Solution

The fourth proportional to 568,910.97, 853,080.74 and 189,697.45 is: 284,450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,910.97 : 853,080.74 = 189,697.45 : x
  2. Step 2: Convert to fraction form
    568,910.97/853,080.74 = 189,697.45/x
  3. Step 3: Cross multiply
    568,910.97x = 853,080.74 × 189,697.45
  4. Step 4: Simplify right side
    568,910.97x = 161,827,240,073.63
  5. Step 5: Solve for x
    x = 161,827,240,073.63/568,910.97
  6. Step 6: Final answer
    x = 284,450.91

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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.