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Finding the Fourth Proportional to 329,405.84, 494,103.56 and 104,763.03

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Solution

The fourth proportional to 329,405.84, 494,103.56 and 104,763.03 is: 157,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,405.84 : 494,103.56 = 104,763.03 : x
  2. Step 2: Convert to fraction form
    329,405.84/494,103.56 = 104,763.03/x
  3. Step 3: Cross multiply
    329,405.84x = 494,103.56 × 104,763.03
  4. Step 4: Simplify right side
    329,405.84x = 51,763,786,079.39
  5. Step 5: Solve for x
    x = 51,763,786,079.39/329,405.84
  6. Step 6: Final answer
    x = 157,142.89

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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.