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Finding the Fourth Proportional to 1,991,356.57, 2,986,416.41 and 711,786.61

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Solution

The fourth proportional to 1,991,356.57, 2,986,416.41 and 711,786.61 is: 1,067,458.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991,356.57 : 2,986,416.41 = 711,786.61 : x
  2. Step 2: Convert to fraction form
    1,991,356.57/2,986,416.41 = 711,786.61/x
  3. Step 3: Cross multiply
    1,991,356.57x = 2,986,416.41 × 711,786.61
  4. Step 4: Simplify right side
    1,991,356.57x = 2,125,691,212,522.27
  5. Step 5: Solve for x
    x = 2,125,691,212,522.27/1,991,356.57
  6. Step 6: Final answer
    x = 1,067,458.86

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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.