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Finding the Fourth Proportional to 568,675.80, 852,728.34 and 189,463.14

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Solution

The fourth proportional to 568,675.80, 852,728.34 and 189,463.14 is: 284,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,675.80 : 852,728.34 = 189,463.14 : x
  2. Step 2: Convert to fraction form
    568,675.80/852,728.34 = 189,463.14/x
  3. Step 3: Cross multiply
    568,675.80x = 852,728.34 × 189,463.14
  4. Step 4: Simplify right side
    568,675.80x = 161,560,588,863.39
  5. Step 5: Solve for x
    x = 161,560,588,863.39/568,675.80
  6. Step 6: Final answer
    x = 284,099.64

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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.