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Finding the Fourth Proportional to 306,361.41, 422,749.13 and 177,274.14

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Solution

The fourth proportional to 306,361.41, 422,749.13 and 177,274.14 is: 244,621.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,361.41 : 422,749.13 = 177,274.14 : x
  2. Step 2: Convert to fraction form
    306,361.41/422,749.13 = 177,274.14/x
  3. Step 3: Cross multiply
    306,361.41x = 422,749.13 × 177,274.14
  4. Step 4: Simplify right side
    306,361.41x = 74,942,488,356.32
  5. Step 5: Solve for x
    x = 74,942,488,356.32/306,361.41
  6. Step 6: Final answer
    x = 244,621.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.