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Finding the Fourth Proportional to 442,906.30, 664,165.05 and 176,578.30

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Solution

The fourth proportional to 442,906.30, 664,165.05 and 176,578.30 is: 264,789.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,906.30 : 664,165.05 = 176,578.30 : x
  2. Step 2: Convert to fraction form
    442,906.30/664,165.05 = 176,578.30/x
  3. Step 3: Cross multiply
    442,906.30x = 664,165.05 × 176,578.30
  4. Step 4: Simplify right side
    442,906.30x = 117,277,135,448.42
  5. Step 5: Solve for x
    x = 117,277,135,448.42/442,906.30
  6. Step 6: Final answer
    x = 264,789.95

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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.