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Finding the Fourth Proportional to 274,605.24, 411,164.46 and 194,313.18

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Solution

The fourth proportional to 274,605.24, 411,164.46 and 194,313.18 is: 290,943.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,605.24 : 411,164.46 = 194,313.18 : x
  2. Step 2: Convert to fraction form
    274,605.24/411,164.46 = 194,313.18/x
  3. Step 3: Cross multiply
    274,605.24x = 411,164.46 × 194,313.18
  4. Step 4: Simplify right side
    274,605.24x = 79,894,673,725.58
  5. Step 5: Solve for x
    x = 79,894,673,725.58/274,605.24
  6. Step 6: Final answer
    x = 290,943.73

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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.