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Finding the Fourth Proportional to 266,794.92, 400,241.64 and 84,471.60

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Solution

The fourth proportional to 266,794.92, 400,241.64 and 84,471.60 is: 126,723.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,794.92 : 400,241.64 = 84,471.60 : x
  2. Step 2: Convert to fraction form
    266,794.92/400,241.64 = 84,471.60/x
  3. Step 3: Cross multiply
    266,794.92x = 400,241.64 × 84,471.60
  4. Step 4: Simplify right side
    266,794.92x = 33,809,051,717.42
  5. Step 5: Solve for x
    x = 33,809,051,717.42/266,794.92
  6. Step 6: Final answer
    x = 126,723.00

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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.