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Finding the Fourth Proportional to 406,436.26, 560,876.04 and 225,147.64

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Solution

The fourth proportional to 406,436.26, 560,876.04 and 225,147.64 is: 310,700.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,436.26 : 560,876.04 = 225,147.64 : x
  2. Step 2: Convert to fraction form
    406,436.26/560,876.04 = 225,147.64/x
  3. Step 3: Cross multiply
    406,436.26x = 560,876.04 × 225,147.64
  4. Step 4: Simplify right side
    406,436.26x = 126,279,916,738.55
  5. Step 5: Solve for x
    x = 126,279,916,738.55/406,436.26
  6. Step 6: Final answer
    x = 310,700.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.