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Finding the Fourth Proportional to 299,906.92, 413,884.11 and 172,583.02

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Solution

The fourth proportional to 299,906.92, 413,884.11 and 172,583.02 is: 238,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,906.92 : 413,884.11 = 172,583.02 : x
  2. Step 2: Convert to fraction form
    299,906.92/413,884.11 = 172,583.02/x
  3. Step 3: Cross multiply
    299,906.92x = 413,884.11 × 172,583.02
  4. Step 4: Simplify right side
    299,906.92x = 71,429,369,633.81
  5. Step 5: Solve for x
    x = 71,429,369,633.81/299,906.92
  6. Step 6: Final answer
    x = 238,171.80

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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.