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Finding the Fourth Proportional to 481,103.01, 721,814.81 and 161,286.48

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Solution

The fourth proportional to 481,103.01, 721,814.81 and 161,286.48 is: 241,983.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,103.01 : 721,814.81 = 161,286.48 : x
  2. Step 2: Convert to fraction form
    481,103.01/721,814.81 = 161,286.48/x
  3. Step 3: Cross multiply
    481,103.01x = 721,814.81 × 161,286.48
  4. Step 4: Simplify right side
    481,103.01x = 116,418,969,110.34
  5. Step 5: Solve for x
    x = 116,418,969,110.34/481,103.01
  6. Step 6: Final answer
    x = 241,983.46

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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.