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Finding the Fourth Proportional to 494,506.26, 741,892.56 and 254,489.40

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Solution

The fourth proportional to 494,506.26, 741,892.56 and 254,489.40 is: 381,802.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,506.26 : 741,892.56 = 254,489.40 : x
  2. Step 2: Convert to fraction form
    494,506.26/741,892.56 = 254,489.40/x
  3. Step 3: Cross multiply
    494,506.26x = 741,892.56 × 254,489.40
  4. Step 4: Simplify right side
    494,506.26x = 188,803,792,458.86
  5. Step 5: Solve for x
    x = 188,803,792,458.86/494,506.26
  6. Step 6: Final answer
    x = 381,802.63

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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.