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Finding the Fourth Proportional to 406,508.42, 560,936.27 and 225,175.41

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Solution

The fourth proportional to 406,508.42, 560,936.27 and 225,175.41 is: 310,716.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,508.42 : 560,936.27 = 225,175.41 : x
  2. Step 2: Convert to fraction form
    406,508.42/560,936.27 = 225,175.41/x
  3. Step 3: Cross multiply
    406,508.42x = 560,936.27 × 225,175.41
  4. Step 4: Simplify right side
    406,508.42x = 126,309,055,144.06
  5. Step 5: Solve for x
    x = 126,309,055,144.06/406,508.42
  6. Step 6: Final answer
    x = 310,716.94

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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.