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Finding the Fourth Proportional to 307,517.30, 461,259.54 and 82,874.12

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Solution

The fourth proportional to 307,517.30, 461,259.54 and 82,874.12 is: 124,306.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,517.30 : 461,259.54 = 82,874.12 : x
  2. Step 2: Convert to fraction form
    307,517.30/461,259.54 = 82,874.12/x
  3. Step 3: Cross multiply
    307,517.30x = 461,259.54 × 82,874.12
  4. Step 4: Simplify right side
    307,517.30x = 38,226,476,162.81
  5. Step 5: Solve for x
    x = 38,226,476,162.81/307,517.30
  6. Step 6: Final answer
    x = 124,306.75

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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.