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Finding the Fourth Proportional to 447,043.46, 670,697.01 and 180,994.91

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Solution

The fourth proportional to 447,043.46, 670,697.01 and 180,994.91 is: 271,545.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,043.46 : 670,697.01 = 180,994.91 : x
  2. Step 2: Convert to fraction form
    447,043.46/670,697.01 = 180,994.91/x
  3. Step 3: Cross multiply
    447,043.46x = 670,697.01 × 180,994.91
  4. Step 4: Simplify right side
    447,043.46x = 121,392,741,608.73
  5. Step 5: Solve for x
    x = 121,392,741,608.73/447,043.46
  6. Step 6: Final answer
    x = 271,545.73

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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.