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Finding the Fourth Proportional to 307,614.16, 461,419.87 and 82,997.41

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Solution

The fourth proportional to 307,614.16, 461,419.87 and 82,997.41 is: 124,495.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,614.16 : 461,419.87 = 82,997.41 : x
  2. Step 2: Convert to fraction form
    307,614.16/461,419.87 = 82,997.41/x
  3. Step 3: Cross multiply
    307,614.16x = 461,419.87 × 82,997.41
  4. Step 4: Simplify right side
    307,614.16x = 38,296,653,558.85
  5. Step 5: Solve for x
    x = 38,296,653,558.85/307,614.16
  6. Step 6: Final answer
    x = 124,495.75

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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.