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Finding the Fourth Proportional to 329,822.26, 494,753.90 and 119,462.02

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Solution

The fourth proportional to 329,822.26, 494,753.90 and 119,462.02 is: 179,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,822.26 : 494,753.90 = 119,462.02 : x
  2. Step 2: Convert to fraction form
    329,822.26/494,753.90 = 119,462.02/x
  3. Step 3: Cross multiply
    329,822.26x = 494,753.90 × 119,462.02
  4. Step 4: Simplify right side
    329,822.26x = 59,104,300,296.88
  5. Step 5: Solve for x
    x = 59,104,300,296.88/329,822.26
  6. Step 6: Final answer
    x = 179,200.46

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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.