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Finding the Fourth Proportional to 422,149.20, 634,145.40 and 297,733.20

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Solution

The fourth proportional to 422,149.20, 634,145.40 and 297,733.20 is: 447,249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,149.20 : 634,145.40 = 297,733.20 : x
  2. Step 2: Convert to fraction form
    422,149.20/634,145.40 = 297,733.20/x
  3. Step 3: Cross multiply
    422,149.20x = 634,145.40 × 297,733.20
  4. Step 4: Simplify right side
    422,149.20x = 188,806,139,207.28
  5. Step 5: Solve for x
    x = 188,806,139,207.28/422,149.20
  6. Step 6: Final answer
    x = 447,249.79

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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.