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Finding the Fourth Proportional to 406,495.44, 560,918.16 and 225,162

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Solution

The fourth proportional to 406,495.44, 560,918.16 and 225,162 is: 310,698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,495.44 : 560,918.16 = 225,162 : x
  2. Step 2: Convert to fraction form
    406,495.44/560,918.16 = 225,162/x
  3. Step 3: Cross multiply
    406,495.44x = 560,918.16 × 225,162
  4. Step 4: Simplify right side
    406,495.44x = 126,297,454,741.92
  5. Step 5: Solve for x
    x = 126,297,454,741.92/406,495.44
  6. Step 6: Final answer
    x = 310,698.33

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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.