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Finding the Fourth Proportional to 284,394.99, 426,593.66 and 71,162.33

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Solution

The fourth proportional to 284,394.99, 426,593.66 and 71,162.33 is: 106,743.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,394.99 : 426,593.66 = 71,162.33 : x
  2. Step 2: Convert to fraction form
    284,394.99/426,593.66 = 71,162.33/x
  3. Step 3: Cross multiply
    284,394.99x = 426,593.66 × 71,162.33
  4. Step 4: Simplify right side
    284,394.99x = 30,357,396,853.77
  5. Step 5: Solve for x
    x = 30,357,396,853.77/284,394.99
  6. Step 6: Final answer
    x = 106,743.78

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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.