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Finding the Fourth Proportional to 568,594.47, 852,833.13 and 189,474.21

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Solution

The fourth proportional to 568,594.47, 852,833.13 and 189,474.21 is: 284,191.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,594.47 : 852,833.13 = 189,474.21 : x
  2. Step 2: Convert to fraction form
    568,594.47/852,833.13 = 189,474.21/x
  3. Step 3: Cross multiply
    568,594.47x = 852,833.13 × 189,474.21
  4. Step 4: Simplify right side
    568,594.47x = 161,589,883,568.58
  5. Step 5: Solve for x
    x = 161,589,883,568.58/568,594.47
  6. Step 6: Final answer
    x = 284,191.80

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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.