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Finding the Fourth Proportional to 299,650.40, 413,501.73 and 163,682.38

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Solution

The fourth proportional to 299,650.40, 413,501.73 and 163,682.38 is: 225,873.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,650.40 : 413,501.73 = 163,682.38 : x
  2. Step 2: Convert to fraction form
    299,650.40/413,501.73 = 163,682.38/x
  3. Step 3: Cross multiply
    299,650.40x = 413,501.73 × 163,682.38
  4. Step 4: Simplify right side
    299,650.40x = 67,682,945,233.01
  5. Step 5: Solve for x
    x = 67,682,945,233.01/299,650.40
  6. Step 6: Final answer
    x = 225,873.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.