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Finding the Fourth Proportional to 422,677.24, 634,224.23 and 197,998.83

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Solution

The fourth proportional to 422,677.24, 634,224.23 and 197,998.83 is: 297,095.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,677.24 : 634,224.23 = 197,998.83 : x
  2. Step 2: Convert to fraction form
    422,677.24/634,224.23 = 197,998.83/x
  3. Step 3: Cross multiply
    422,677.24x = 634,224.23 × 197,998.83
  4. Step 4: Simplify right side
    422,677.24x = 125,575,655,250.15
  5. Step 5: Solve for x
    x = 125,575,655,250.15/422,677.24
  6. Step 6: Final answer
    x = 297,095.85

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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.