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Finding the Fourth Proportional to 307,163.22, 460,713.69 and 82,494.46

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Solution

The fourth proportional to 307,163.22, 460,713.69 and 82,494.46 is: 123,733.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,163.22 : 460,713.69 = 82,494.46 : x
  2. Step 2: Convert to fraction form
    307,163.22/460,713.69 = 82,494.46/x
  3. Step 3: Cross multiply
    307,163.22x = 460,713.69 × 82,494.46
  4. Step 4: Simplify right side
    307,163.22x = 38,006,327,071.16
  5. Step 5: Solve for x
    x = 38,006,327,071.16/307,163.22
  6. Step 6: Final answer
    x = 123,733.33

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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.