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Finding the Fourth Proportional to 569,863.20, 854,871.60 and 196,000.80

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Solution

The fourth proportional to 569,863.20, 854,871.60 and 196,000.80 is: 294,027.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,863.20 : 854,871.60 = 196,000.80 : x
  2. Step 2: Convert to fraction form
    569,863.20/854,871.60 = 196,000.80/x
  3. Step 3: Cross multiply
    569,863.20x = 854,871.60 × 196,000.80
  4. Step 4: Simplify right side
    569,863.20x = 167,555,517,497.28
  5. Step 5: Solve for x
    x = 167,555,517,497.28/569,863.20
  6. Step 6: Final answer
    x = 294,027.61

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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.