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Finding the Fourth Proportional to 488,768.10, 733,115.70 and 204,385.20

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Solution

The fourth proportional to 488,768.10, 733,115.70 and 204,385.20 is: 306,562.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,768.10 : 733,115.70 = 204,385.20 : x
  2. Step 2: Convert to fraction form
    488,768.10/733,115.70 = 204,385.20/x
  3. Step 3: Cross multiply
    488,768.10x = 733,115.70 × 204,385.20
  4. Step 4: Simplify right side
    488,768.10x = 149,837,998,967.64
  5. Step 5: Solve for x
    x = 149,837,998,967.64/488,768.10
  6. Step 6: Final answer
    x = 306,562.56

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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.