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Finding the Fourth Proportional to 274,602.98, 411,161.09 and 194,310.92

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Solution

The fourth proportional to 274,602.98, 411,161.09 and 194,310.92 is: 290,940.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,602.98 : 411,161.09 = 194,310.92 : x
  2. Step 2: Convert to fraction form
    274,602.98/411,161.09 = 194,310.92/x
  3. Step 3: Cross multiply
    274,602.98x = 411,161.09 × 194,310.92
  4. Step 4: Simplify right side
    274,602.98x = 79,893,091,179.78
  5. Step 5: Solve for x
    x = 79,893,091,179.78/274,602.98
  6. Step 6: Final answer
    x = 290,940.36

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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.