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Finding the Fourth Proportional to 551,647.20, 827,276.40 and 196,672.80

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Solution

The fourth proportional to 551,647.20, 827,276.40 and 196,672.80 is: 294,939.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,647.20 : 827,276.40 = 196,672.80 : x
  2. Step 2: Convert to fraction form
    551,647.20/827,276.40 = 196,672.80/x
  3. Step 3: Cross multiply
    551,647.20x = 827,276.40 × 196,672.80
  4. Step 4: Simplify right side
    551,647.20x = 162,702,765,961.92
  5. Step 5: Solve for x
    x = 162,702,765,961.92/551,647.20
  6. Step 6: Final answer
    x = 294,939.89

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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.