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Finding the Fourth Proportional to 299,524.68, 449,256.24 and 99,823.50

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Solution

The fourth proportional to 299,524.68, 449,256.24 and 99,823.50 is: 149,724.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,524.68 : 449,256.24 = 99,823.50 : x
  2. Step 2: Convert to fraction form
    299,524.68/449,256.24 = 99,823.50/x
  3. Step 3: Cross multiply
    299,524.68x = 449,256.24 × 99,823.50
  4. Step 4: Simplify right side
    299,524.68x = 44,846,330,273.64
  5. Step 5: Solve for x
    x = 44,846,330,273.64/299,524.68
  6. Step 6: Final answer
    x = 149,724.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.