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Finding the Fourth Proportional to 331,633.01, 497,391.75 and 106,993.43

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Solution

The fourth proportional to 331,633.01, 497,391.75 and 106,993.43 is: 160,471.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,633.01 : 497,391.75 = 106,993.43 : x
  2. Step 2: Convert to fraction form
    331,633.01/497,391.75 = 106,993.43/x
  3. Step 3: Cross multiply
    331,633.01x = 497,391.75 × 106,993.43
  4. Step 4: Simplify right side
    331,633.01x = 53,217,649,386.20
  5. Step 5: Solve for x
    x = 53,217,649,386.20/331,633.01
  6. Step 6: Final answer
    x = 160,471.51

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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.