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Finding the Fourth Proportional to 381,697.26, 572,704.38 and 192,056.40

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Solution

The fourth proportional to 381,697.26, 572,704.38 and 192,056.40 is: 288,164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,697.26 : 572,704.38 = 192,056.40 : x
  2. Step 2: Convert to fraction form
    381,697.26/572,704.38 = 192,056.40/x
  3. Step 3: Cross multiply
    381,697.26x = 572,704.38 × 192,056.40
  4. Step 4: Simplify right side
    381,697.26x = 109,991,541,487.03
  5. Step 5: Solve for x
    x = 109,991,541,487.03/381,697.26
  6. Step 6: Final answer
    x = 288,164.35

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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.