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Finding the Fourth Proportional to 299,722.25, 449,573.02 and 75,084.64

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Solution

The fourth proportional to 299,722.25, 449,573.02 and 75,084.64 is: 112,624.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,722.25 : 449,573.02 = 75,084.64 : x
  2. Step 2: Convert to fraction form
    299,722.25/449,573.02 = 75,084.64/x
  3. Step 3: Cross multiply
    299,722.25x = 449,573.02 × 75,084.64
  4. Step 4: Simplify right side
    299,722.25x = 33,756,028,360.41
  5. Step 5: Solve for x
    x = 33,756,028,360.41/299,722.25
  6. Step 6: Final answer
    x = 112,624.37

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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.