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Finding the Fourth Proportional to 711,523.78, 981,956.09 and 405,607.44

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Solution

The fourth proportional to 711,523.78, 981,956.09 and 405,607.44 is: 559,768.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,523.78 : 981,956.09 = 405,607.44 : x
  2. Step 2: Convert to fraction form
    711,523.78/981,956.09 = 405,607.44/x
  3. Step 3: Cross multiply
    711,523.78x = 981,956.09 × 405,607.44
  4. Step 4: Simplify right side
    711,523.78x = 398,288,695,857.31
  5. Step 5: Solve for x
    x = 398,288,695,857.31/711,523.78
  6. Step 6: Final answer
    x = 559,768.64

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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.