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Finding the Fourth Proportional to 711,570.88, 981,992.16 and 405,691.84

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Solution

The fourth proportional to 711,570.88, 981,992.16 and 405,691.84 is: 559,868.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,570.88 : 981,992.16 = 405,691.84 : x
  2. Step 2: Convert to fraction form
    711,570.88/981,992.16 = 405,691.84/x
  3. Step 3: Cross multiply
    711,570.88x = 981,992.16 × 405,691.84
  4. Step 4: Simplify right side
    711,570.88x = 398,386,206,255.97
  5. Step 5: Solve for x
    x = 398,386,206,255.97/711,570.88
  6. Step 6: Final answer
    x = 559,868.62

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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.