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Finding the Fourth Proportional to 297,226.60, 445,834.74 and 119,729.07

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Solution

The fourth proportional to 297,226.60, 445,834.74 and 119,729.07 is: 179,591.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,226.60 : 445,834.74 = 119,729.07 : x
  2. Step 2: Convert to fraction form
    297,226.60/445,834.74 = 119,729.07/x
  3. Step 3: Cross multiply
    297,226.60x = 445,834.74 × 119,729.07
  4. Step 4: Simplify right side
    297,226.60x = 53,379,379,908.48
  5. Step 5: Solve for x
    x = 53,379,379,908.48/297,226.60
  6. Step 6: Final answer
    x = 179,591.53

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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.