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Finding the Fourth Proportional to 551,447.60, 827,171.40 and 196,473.20

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Solution

The fourth proportional to 551,447.60, 827,171.40 and 196,473.20 is: 294,709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,447.60 : 827,171.40 = 196,473.20 : x
  2. Step 2: Convert to fraction form
    551,447.60/827,171.40 = 196,473.20/x
  3. Step 3: Cross multiply
    551,447.60x = 827,171.40 × 196,473.20
  4. Step 4: Simplify right side
    551,447.60x = 162,517,011,906.48
  5. Step 5: Solve for x
    x = 162,517,011,906.48/551,447.60
  6. Step 6: Final answer
    x = 294,709.80

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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.