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Finding the Fourth Proportional to 329,249.88, 493,943.67 and 187,160.49

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Solution

The fourth proportional to 329,249.88, 493,943.67 and 187,160.49 is: 280,779.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,249.88 : 493,943.67 = 187,160.49 : x
  2. Step 2: Convert to fraction form
    329,249.88/493,943.67 = 187,160.49/x
  3. Step 3: Cross multiply
    329,249.88x = 493,943.67 × 187,160.49
  4. Step 4: Simplify right side
    329,249.88x = 92,446,739,309.60
  5. Step 5: Solve for x
    x = 92,446,739,309.60/329,249.88
  6. Step 6: Final answer
    x = 280,779.87

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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.