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Finding the Fourth Proportional to 381,015.60, 571,523.40 and 192,058.80

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Solution

The fourth proportional to 381,015.60, 571,523.40 and 192,058.80 is: 288,088.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,015.60 : 571,523.40 = 192,058.80 : x
  2. Step 2: Convert to fraction form
    381,015.60/571,523.40 = 192,058.80/x
  3. Step 3: Cross multiply
    381,015.60x = 571,523.40 × 192,058.80
  4. Step 4: Simplify right side
    381,015.60x = 109,766,098,375.92
  5. Step 5: Solve for x
    x = 109,766,098,375.92/381,015.60
  6. Step 6: Final answer
    x = 288,088.20

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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.