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Finding the Fourth Proportional to 275,615.25, 412,701.15 and 180,546.36

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Solution

The fourth proportional to 275,615.25, 412,701.15 and 180,546.36 is: 270,346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,615.25 : 412,701.15 = 180,546.36 : x
  2. Step 2: Convert to fraction form
    275,615.25/412,701.15 = 180,546.36/x
  3. Step 3: Cross multiply
    275,615.25x = 412,701.15 × 180,546.36
  4. Step 4: Simplify right side
    275,615.25x = 74,511,690,400.31
  5. Step 5: Solve for x
    x = 74,511,690,400.31/275,615.25
  6. Step 6: Final answer
    x = 270,346.76

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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.