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Finding the Fourth Proportional to 381,884.60, 572,049.30 and 195,001.40

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Solution

The fourth proportional to 381,884.60, 572,049.30 and 195,001.40 is: 292,105.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,884.60 : 572,049.30 = 195,001.40 : x
  2. Step 2: Convert to fraction form
    381,884.60/572,049.30 = 195,001.40/x
  3. Step 3: Cross multiply
    381,884.60x = 572,049.30 × 195,001.40
  4. Step 4: Simplify right side
    381,884.60x = 111,550,414,369.02
  5. Step 5: Solve for x
    x = 111,550,414,369.02/381,884.60
  6. Step 6: Final answer
    x = 292,105.03

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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.