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Finding the Fourth Proportional to 711,157.22, 981,207.83 and 405,227.05

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Solution

The fourth proportional to 711,157.22, 981,207.83 and 405,227.05 is: 559,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,157.22 : 981,207.83 = 405,227.05 : x
  2. Step 2: Convert to fraction form
    711,157.22/981,207.83 = 405,227.05/x
  3. Step 3: Cross multiply
    711,157.22x = 981,207.83 × 405,227.05
  4. Step 4: Simplify right side
    711,157.22x = 397,611,954,387.80
  5. Step 5: Solve for x
    x = 397,611,954,387.80/711,157.22
  6. Step 6: Final answer
    x = 559,105.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.