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Finding the Fourth Proportional to 381,905.60, 572,080.80 and 195,022.40

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Solution

The fourth proportional to 381,905.60, 572,080.80 and 195,022.40 is: 292,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,905.60 : 572,080.80 = 195,022.40 : x
  2. Step 2: Convert to fraction form
    381,905.60/572,080.80 = 195,022.40/x
  3. Step 3: Cross multiply
    381,905.60x = 572,080.80 × 195,022.40
  4. Step 4: Simplify right side
    381,905.60x = 111,568,570,609.92
  5. Step 5: Solve for x
    x = 111,568,570,609.92/381,905.60
  6. Step 6: Final answer
    x = 292,136.51

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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.