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Finding the Fourth Proportional to 297,830.80, 447,091.80 and 179,635.60

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Solution

The fourth proportional to 297,830.80, 447,091.80 and 179,635.60 is: 269,661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,830.80 : 447,091.80 = 179,635.60 : x
  2. Step 2: Convert to fraction form
    297,830.80/447,091.80 = 179,635.60/x
  3. Step 3: Cross multiply
    297,830.80x = 447,091.80 × 179,635.60
  4. Step 4: Simplify right side
    297,830.80x = 80,313,603,748.08
  5. Step 5: Solve for x
    x = 80,313,603,748.08/297,830.80
  6. Step 6: Final answer
    x = 269,661.85

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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.