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Finding the Fourth Proportional to 297,891.76, 447,155.97 and 120,514.72

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Solution

The fourth proportional to 297,891.76, 447,155.97 and 120,514.72 is: 180,900.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,891.76 : 447,155.97 = 120,514.72 : x
  2. Step 2: Convert to fraction form
    297,891.76/447,155.97 = 120,514.72/x
  3. Step 3: Cross multiply
    297,891.76x = 447,155.97 × 120,514.72
  4. Step 4: Simplify right side
    297,891.76x = 53,888,876,520.88
  5. Step 5: Solve for x
    x = 53,888,876,520.88/297,891.76
  6. Step 6: Final answer
    x = 180,900.86

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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.