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Finding the Fourth Proportional to 406,532.43, 610,357.25 and 206,986.91

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Solution

The fourth proportional to 406,532.43, 610,357.25 and 206,986.91 is: 310,764.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,532.43 : 610,357.25 = 206,986.91 : x
  2. Step 2: Convert to fraction form
    406,532.43/610,357.25 = 206,986.91/x
  3. Step 3: Cross multiply
    406,532.43x = 610,357.25 × 206,986.91
  4. Step 4: Simplify right side
    406,532.43x = 126,335,957,086.88
  5. Step 5: Solve for x
    x = 126,335,957,086.88/406,532.43
  6. Step 6: Final answer
    x = 310,764.77

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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.