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Finding the Fourth Proportional to 329,797.24, 494,731.50 and 105,104.86

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Solution

The fourth proportional to 329,797.24, 494,731.50 and 105,104.86 is: 157,668.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,797.24 : 494,731.50 = 105,104.86 : x
  2. Step 2: Convert to fraction form
    329,797.24/494,731.50 = 105,104.86/x
  3. Step 3: Cross multiply
    329,797.24x = 494,731.50 × 105,104.86
  4. Step 4: Simplify right side
    329,797.24x = 51,998,685,045.09
  5. Step 5: Solve for x
    x = 51,998,685,045.09/329,797.24
  6. Step 6: Final answer
    x = 157,668.65

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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.