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Finding the Fourth Proportional to 381,672, 572,508.24 and 119,016

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Solution

The fourth proportional to 381,672, 572,508.24 and 119,016 is: 178,524.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,672 : 572,508.24 = 119,016 : x
  2. Step 2: Convert to fraction form
    381,672/572,508.24 = 119,016/x
  3. Step 3: Cross multiply
    381,672x = 572,508.24 × 119,016
  4. Step 4: Simplify right side
    381,672x = 68,137,640,691.84
  5. Step 5: Solve for x
    x = 68,137,640,691.84/381,672
  6. Step 6: Final answer
    x = 178,524.07

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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.