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Finding the Fourth Proportional to 329,699.82, 494,611.17 and 149,797.86

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Solution

The fourth proportional to 329,699.82, 494,611.17 and 149,797.86 is: 224,724.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,699.82 : 494,611.17 = 149,797.86 : x
  2. Step 2: Convert to fraction form
    329,699.82/494,611.17 = 149,797.86/x
  3. Step 3: Cross multiply
    329,699.82x = 494,611.17 × 149,797.86
  4. Step 4: Simplify right side
    329,699.82x = 74,091,694,798.10
  5. Step 5: Solve for x
    x = 74,091,694,798.10/329,699.82
  6. Step 6: Final answer
    x = 224,724.71

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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.