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Finding the Fourth Proportional to 406,447.52, 560,897.48 and 225,171.22

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Solution

The fourth proportional to 406,447.52, 560,897.48 and 225,171.22 is: 310,736.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,447.52 : 560,897.48 = 225,171.22 : x
  2. Step 2: Convert to fraction form
    406,447.52/560,897.48 = 225,171.22/x
  3. Step 3: Cross multiply
    406,447.52x = 560,897.48 × 225,171.22
  4. Step 4: Simplify right side
    406,447.52x = 126,297,969,866.53
  5. Step 5: Solve for x
    x = 126,297,969,866.53/406,447.52
  6. Step 6: Final answer
    x = 310,736.23

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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.