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Finding the Fourth Proportional to 481,882.14, 665,023.86 and 267,017.49

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Solution

The fourth proportional to 481,882.14, 665,023.86 and 267,017.49 is: 368,498.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,882.14 : 665,023.86 = 267,017.49 : x
  2. Step 2: Convert to fraction form
    481,882.14/665,023.86 = 267,017.49/x
  3. Step 3: Cross multiply
    481,882.14x = 665,023.86 × 267,017.49
  4. Step 4: Simplify right side
    481,882.14x = 177,573,001,887.31
  5. Step 5: Solve for x
    x = 177,573,001,887.31/481,882.14
  6. Step 6: Final answer
    x = 368,498.82

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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.