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Finding the Fourth Proportional to 277,642.26, 416,971.80 and 254,219.49

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Solution

The fourth proportional to 277,642.26, 416,971.80 and 254,219.49 is: 381,794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,642.26 : 416,971.80 = 254,219.49 : x
  2. Step 2: Convert to fraction form
    277,642.26/416,971.80 = 254,219.49/x
  3. Step 3: Cross multiply
    277,642.26x = 416,971.80 × 254,219.49
  4. Step 4: Simplify right side
    277,642.26x = 106,002,358,340.38
  5. Step 5: Solve for x
    x = 106,002,358,340.38/277,642.26
  6. Step 6: Final answer
    x = 381,794.75

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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.