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Finding the Fourth Proportional to 275,427.60, 412,266.60 and 196,695.60

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Solution

The fourth proportional to 275,427.60, 412,266.60 and 196,695.60 is: 294,418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,427.60 : 412,266.60 = 196,695.60 : x
  2. Step 2: Convert to fraction form
    275,427.60/412,266.60 = 196,695.60/x
  3. Step 3: Cross multiply
    275,427.60x = 412,266.60 × 196,695.60
  4. Step 4: Simplify right side
    275,427.60x = 81,091,026,246.96
  5. Step 5: Solve for x
    x = 81,091,026,246.96/275,427.60
  6. Step 6: Final answer
    x = 294,418.66

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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.