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Finding the Fourth Proportional to 275,718.40, 413,654.40 and 135,481.60

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Solution

The fourth proportional to 275,718.40, 413,654.40 and 135,481.60 is: 203,260.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,718.40 : 413,654.40 = 135,481.60 : x
  2. Step 2: Convert to fraction form
    275,718.40/413,654.40 = 135,481.60/x
  3. Step 3: Cross multiply
    275,718.40x = 413,654.40 × 135,481.60
  4. Step 4: Simplify right side
    275,718.40x = 56,042,559,959.04
  5. Step 5: Solve for x
    x = 56,042,559,959.04/275,718.40
  6. Step 6: Final answer
    x = 203,260.14

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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.