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Finding the Fourth Proportional to 381,157.60, 571,963.20 and 144,524.20

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Solution

The fourth proportional to 381,157.60, 571,963.20 and 144,524.20 is: 216,872.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,157.60 : 571,963.20 = 144,524.20 : x
  2. Step 2: Convert to fraction form
    381,157.60/571,963.20 = 144,524.20/x
  3. Step 3: Cross multiply
    381,157.60x = 571,963.20 × 144,524.20
  4. Step 4: Simplify right side
    381,157.60x = 82,662,523,909.44
  5. Step 5: Solve for x
    x = 82,662,523,909.44/381,157.60
  6. Step 6: Final answer
    x = 216,872.30

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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.