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Finding the Fourth Proportional to 329,622.78, 494,140.92 and 119,213.94

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Solution

The fourth proportional to 329,622.78, 494,140.92 and 119,213.94 is: 178,714.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,622.78 : 494,140.92 = 119,213.94 : x
  2. Step 2: Convert to fraction form
    329,622.78/494,140.92 = 119,213.94/x
  3. Step 3: Cross multiply
    329,622.78x = 494,140.92 × 119,213.94
  4. Step 4: Simplify right side
    329,622.78x = 58,908,485,988.42
  5. Step 5: Solve for x
    x = 58,908,485,988.42/329,622.78
  6. Step 6: Final answer
    x = 178,714.85

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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.