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Finding the Fourth Proportional to 414,080.44, 620,677.78 and 189,103.75

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Solution

The fourth proportional to 414,080.44, 620,677.78 and 189,103.75 is: 283,453.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,080.44 : 620,677.78 = 189,103.75 : x
  2. Step 2: Convert to fraction form
    414,080.44/620,677.78 = 189,103.75/x
  3. Step 3: Cross multiply
    414,080.44x = 620,677.78 × 189,103.75
  4. Step 4: Simplify right side
    414,080.44x = 117,372,495,739.68
  5. Step 5: Solve for x
    x = 117,372,495,739.68/414,080.44
  6. Step 6: Final answer
    x = 283,453.37

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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.