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Finding the Fourth Proportional to 386,871.35, 580,042.33 and 196,964.24

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Solution

The fourth proportional to 386,871.35, 580,042.33 and 196,964.24 is: 295,311.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,871.35 : 580,042.33 = 196,964.24 : x
  2. Step 2: Convert to fraction form
    386,871.35/580,042.33 = 196,964.24/x
  3. Step 3: Cross multiply
    386,871.35x = 580,042.33 × 196,964.24
  4. Step 4: Simplify right side
    386,871.35x = 114,247,593,303.66
  5. Step 5: Solve for x
    x = 114,247,593,303.66/386,871.35
  6. Step 6: Final answer
    x = 295,311.59

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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.