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Finding the Fourth Proportional to 329,405.90, 494,103.66 and 104,763.09

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Solution

The fourth proportional to 329,405.90, 494,103.66 and 104,763.09 is: 157,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,405.90 : 494,103.66 = 104,763.09 : x
  2. Step 2: Convert to fraction form
    329,405.90/494,103.66 = 104,763.09/x
  3. Step 3: Cross multiply
    329,405.90x = 494,103.66 × 104,763.09
  4. Step 4: Simplify right side
    329,405.90x = 51,763,825,809.05
  5. Step 5: Solve for x
    x = 51,763,825,809.05/329,405.90
  6. Step 6: Final answer
    x = 157,142.98

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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.