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Finding the Fourth Proportional to 412,079.64, 568,683.90 and 230,799.21

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Solution

The fourth proportional to 412,079.64, 568,683.90 and 230,799.21 is: 318,510.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,079.64 : 568,683.90 = 230,799.21 : x
  2. Step 2: Convert to fraction form
    412,079.64/568,683.90 = 230,799.21/x
  3. Step 3: Cross multiply
    412,079.64x = 568,683.90 × 230,799.21
  4. Step 4: Simplify right side
    412,079.64x = 131,251,794,859.72
  5. Step 5: Solve for x
    x = 131,251,794,859.72/412,079.64
  6. Step 6: Final answer
    x = 318,510.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.