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Finding the Fourth Proportional to 320,092.34, 441,745.15 and 176,849.31

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Solution

The fourth proportional to 320,092.34, 441,745.15 and 176,849.31 is: 244,061.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,092.34 : 441,745.15 = 176,849.31 : x
  2. Step 2: Convert to fraction form
    320,092.34/441,745.15 = 176,849.31/x
  3. Step 3: Cross multiply
    320,092.34x = 441,745.15 × 176,849.31
  4. Step 4: Simplify right side
    320,092.34x = 78,122,324,973.35
  5. Step 5: Solve for x
    x = 78,122,324,973.35/320,092.34
  6. Step 6: Final answer
    x = 244,061.84

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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.