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Finding the Fourth Proportional to 307,414.67, 461,087.34 and 82,791.54

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Solution

The fourth proportional to 307,414.67, 461,087.34 and 82,791.54 is: 124,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,414.67 : 461,087.34 = 82,791.54 : x
  2. Step 2: Convert to fraction form
    307,414.67/461,087.34 = 82,791.54/x
  3. Step 3: Cross multiply
    307,414.67x = 461,087.34 × 82,791.54
  4. Step 4: Simplify right side
    307,414.67x = 38,174,130,953.10
  5. Step 5: Solve for x
    x = 38,174,130,953.10/307,414.67
  6. Step 6: Final answer
    x = 124,177.98

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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.