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Finding the Fourth Proportional to 299,158.84, 447,943.38 and 180,669.88

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Solution

The fourth proportional to 299,158.84, 447,943.38 and 180,669.88 is: 270,524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,158.84 : 447,943.38 = 180,669.88 : x
  2. Step 2: Convert to fraction form
    299,158.84/447,943.38 = 180,669.88/x
  3. Step 3: Cross multiply
    299,158.84x = 447,943.38 × 180,669.88
  4. Step 4: Simplify right side
    299,158.84x = 80,929,876,711.39
  5. Step 5: Solve for x
    x = 80,929,876,711.39/299,158.84
  6. Step 6: Final answer
    x = 270,524.77

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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.