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Finding the Fourth Proportional to 329,405.25, 494,107.88 and 104,766.15

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Solution

The fourth proportional to 329,405.25, 494,107.88 and 104,766.15 is: 157,149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,405.25 : 494,107.88 = 104,766.15 : x
  2. Step 2: Convert to fraction form
    329,405.25/494,107.88 = 104,766.15/x
  3. Step 3: Cross multiply
    329,405.25x = 494,107.88 × 104,766.15
  4. Step 4: Simplify right side
    329,405.25x = 51,765,779,748.43
  5. Step 5: Solve for x
    x = 51,765,779,748.43/329,405.25
  6. Step 6: Final answer
    x = 157,149.23

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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.