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Finding the Fourth Proportional to 299,418.44, 449,299.89 and 166,287.56

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Solution

The fourth proportional to 299,418.44, 449,299.89 and 166,287.56 is: 249,526.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,418.44 : 449,299.89 = 166,287.56 : x
  2. Step 2: Convert to fraction form
    299,418.44/449,299.89 = 166,287.56/x
  3. Step 3: Cross multiply
    299,418.44x = 449,299.89 × 166,287.56
  4. Step 4: Simplify right side
    299,418.44x = 74,712,980,169.87
  5. Step 5: Solve for x
    x = 74,712,980,169.87/299,418.44
  6. Step 6: Final answer
    x = 249,526.99

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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.