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Finding the Fourth Proportional to 329,599, 494,105.30 and 119,190.20

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Solution

The fourth proportional to 329,599, 494,105.30 and 119,190.20 is: 178,679.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,599 : 494,105.30 = 119,190.20 : x
  2. Step 2: Convert to fraction form
    329,599/494,105.30 = 119,190.20/x
  3. Step 3: Cross multiply
    329,599x = 494,105.30 × 119,190.20
  4. Step 4: Simplify right side
    329,599x = 58,892,509,528.06
  5. Step 5: Solve for x
    x = 58,892,509,528.06/329,599
  6. Step 6: Final answer
    x = 178,679.27

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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.