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Finding the Fourth Proportional to 299,461.96, 449,789.10 and 187,340.68

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Solution

The fourth proportional to 299,461.96, 449,789.10 and 187,340.68 is: 281,383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,461.96 : 449,789.10 = 187,340.68 : x
  2. Step 2: Convert to fraction form
    299,461.96/449,789.10 = 187,340.68/x
  3. Step 3: Cross multiply
    299,461.96x = 449,789.10 × 187,340.68
  4. Step 4: Simplify right side
    299,461.96x = 84,263,795,850.59
  5. Step 5: Solve for x
    x = 84,263,795,850.59/299,461.96
  6. Step 6: Final answer
    x = 281,383.97

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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.