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Finding the Fourth Proportional to 422,956.36, 634,046.01 and 182,920.12

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Solution

The fourth proportional to 422,956.36, 634,046.01 and 182,920.12 is: 274,212.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,956.36 : 634,046.01 = 182,920.12 : x
  2. Step 2: Convert to fraction form
    422,956.36/634,046.01 = 182,920.12/x
  3. Step 3: Cross multiply
    422,956.36x = 634,046.01 × 182,920.12
  4. Step 4: Simplify right side
    422,956.36x = 115,979,772,234.72
  5. Step 5: Solve for x
    x = 115,979,772,234.72/422,956.36
  6. Step 6: Final answer
    x = 274,212.15

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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.