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Finding the Fourth Proportional to 271,048.38, 406,235.21 and 174,731.61

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Solution

The fourth proportional to 271,048.38, 406,235.21 and 174,731.61 is: 261,879.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,048.38 : 406,235.21 = 174,731.61 : x
  2. Step 2: Convert to fraction form
    271,048.38/406,235.21 = 174,731.61/x
  3. Step 3: Cross multiply
    271,048.38x = 406,235.21 × 174,731.61
  4. Step 4: Simplify right side
    271,048.38x = 70,982,131,408.33
  5. Step 5: Solve for x
    x = 70,982,131,408.33/271,048.38
  6. Step 6: Final answer
    x = 261,879.93

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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.