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Finding the Fourth Proportional to 481,963.14, 665,109.12 and 267,135.48

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Solution

The fourth proportional to 481,963.14, 665,109.12 and 267,135.48 is: 368,646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,963.14 : 665,109.12 = 267,135.48 : x
  2. Step 2: Convert to fraction form
    481,963.14/665,109.12 = 267,135.48/x
  3. Step 3: Cross multiply
    481,963.14x = 665,109.12 × 267,135.48
  4. Step 4: Simplify right side
    481,963.14x = 177,674,244,023.58
  5. Step 5: Solve for x
    x = 177,674,244,023.58/481,963.14
  6. Step 6: Final answer
    x = 368,646.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.