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Finding the Fourth Proportional to 299,091.88, 447,583.94 and 186,824.97

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Solution

The fourth proportional to 299,091.88, 447,583.94 and 186,824.97 is: 279,579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,091.88 : 447,583.94 = 186,824.97 : x
  2. Step 2: Convert to fraction form
    299,091.88/447,583.94 = 186,824.97/x
  3. Step 3: Cross multiply
    299,091.88x = 447,583.94 × 186,824.97
  4. Step 4: Simplify right side
    299,091.88x = 83,619,856,162.98
  5. Step 5: Solve for x
    x = 83,619,856,162.98/299,091.88
  6. Step 6: Final answer
    x = 279,579.16

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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.