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Finding the Fourth Proportional to 381,884.40, 572,610.60 and 145,234.80

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Solution

The fourth proportional to 381,884.40, 572,610.60 and 145,234.80 is: 217,770.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,884.40 : 572,610.60 = 145,234.80 : x
  2. Step 2: Convert to fraction form
    381,884.40/572,610.60 = 145,234.80/x
  3. Step 3: Cross multiply
    381,884.40x = 572,610.60 × 145,234.80
  4. Step 4: Simplify right side
    381,884.40x = 83,162,985,968.88
  5. Step 5: Solve for x
    x = 83,162,985,968.88/381,884.40
  6. Step 6: Final answer
    x = 217,770.05

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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.