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Finding the Fourth Proportional to 634,194.38, 950,024.13 and 381,336.44

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Solution

The fourth proportional to 634,194.38, 950,024.13 and 381,336.44 is: 571,242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,194.38 : 950,024.13 = 381,336.44 : x
  2. Step 2: Convert to fraction form
    634,194.38/950,024.13 = 381,336.44/x
  3. Step 3: Cross multiply
    634,194.38x = 950,024.13 × 381,336.44
  4. Step 4: Simplify right side
    634,194.38x = 362,278,819,648.30
  5. Step 5: Solve for x
    x = 362,278,819,648.30/634,194.38
  6. Step 6: Final answer
    x = 571,242.56

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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.