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Finding the Fourth Proportional to 494,227.74, 741,060.74 and 194,546

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Solution

The fourth proportional to 494,227.74, 741,060.74 and 194,546 is: 291,708.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,227.74 : 741,060.74 = 194,546 : x
  2. Step 2: Convert to fraction form
    494,227.74/741,060.74 = 194,546/x
  3. Step 3: Cross multiply
    494,227.74x = 741,060.74 × 194,546
  4. Step 4: Simplify right side
    494,227.74x = 144,170,402,724.04
  5. Step 5: Solve for x
    x = 144,170,402,724.04/494,227.74
  6. Step 6: Final answer
    x = 291,708.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.