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Finding the Fourth Proportional to 294,408.16, 406,336.44 and 173,542.48

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Solution

The fourth proportional to 294,408.16, 406,336.44 and 173,542.48 is: 239,519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,408.16 : 406,336.44 = 173,542.48 : x
  2. Step 2: Convert to fraction form
    294,408.16/406,336.44 = 173,542.48/x
  3. Step 3: Cross multiply
    294,408.16x = 406,336.44 × 173,542.48
  4. Step 4: Simplify right side
    294,408.16x = 70,516,633,511.97
  5. Step 5: Solve for x
    x = 70,516,633,511.97/294,408.16
  6. Step 6: Final answer
    x = 239,519.97

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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.