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Finding the Fourth Proportional to 299,844.32, 413,745.12 and 192,559.66

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Solution

The fourth proportional to 299,844.32, 413,745.12 and 192,559.66 is: 265,706.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,844.32 : 413,745.12 = 192,559.66 : x
  2. Step 2: Convert to fraction form
    299,844.32/413,745.12 = 192,559.66/x
  3. Step 3: Cross multiply
    299,844.32x = 413,745.12 × 192,559.66
  4. Step 4: Simplify right side
    299,844.32x = 79,670,619,633.86
  5. Step 5: Solve for x
    x = 79,670,619,633.86/299,844.32
  6. Step 6: Final answer
    x = 265,706.62

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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.