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Finding the Fourth Proportional to 299,679.84, 449,524.08 and 100,009.44

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Solution

The fourth proportional to 299,679.84, 449,524.08 and 100,009.44 is: 150,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,679.84 : 449,524.08 = 100,009.44 : x
  2. Step 2: Convert to fraction form
    299,679.84/449,524.08 = 100,009.44/x
  3. Step 3: Cross multiply
    299,679.84x = 449,524.08 × 100,009.44
  4. Step 4: Simplify right side
    299,679.84x = 44,956,651,507.32
  5. Step 5: Solve for x
    x = 44,956,651,507.32/299,679.84
  6. Step 6: Final answer
    x = 150,015.60

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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.