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Finding the Fourth Proportional to 494,417, 741,185.66 and 178,803.74

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Solution

The fourth proportional to 494,417, 741,185.66 and 178,803.74 is: 268,046.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,417 : 741,185.66 = 178,803.74 : x
  2. Step 2: Convert to fraction form
    494,417/741,185.66 = 178,803.74/x
  3. Step 3: Cross multiply
    494,417x = 741,185.66 × 178,803.74
  4. Step 4: Simplify right side
    494,417x = 132,526,768,042.37
  5. Step 5: Solve for x
    x = 132,526,768,042.37/494,417
  6. Step 6: Final answer
    x = 268,046.54

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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.