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Finding the Fourth Proportional to 709,115.91, 978,661.40 and 394,819.71

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Solution

The fourth proportional to 709,115.91, 978,661.40 and 394,819.71 is: 544,896.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,115.91 : 978,661.40 = 394,819.71 : x
  2. Step 2: Convert to fraction form
    709,115.91/978,661.40 = 394,819.71/x
  3. Step 3: Cross multiply
    709,115.91x = 978,661.40 × 394,819.71
  4. Step 4: Simplify right side
    709,115.91x = 386,394,810,136.19
  5. Step 5: Solve for x
    x = 386,394,810,136.19/709,115.91
  6. Step 6: Final answer
    x = 544,896.55

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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.