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Finding the Fourth Proportional to 469,902.45, 704,847.57 and 114,919.55

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Solution

The fourth proportional to 469,902.45, 704,847.57 and 114,919.55 is: 172,377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,902.45 : 704,847.57 = 114,919.55 : x
  2. Step 2: Convert to fraction form
    469,902.45/704,847.57 = 114,919.55/x
  3. Step 3: Cross multiply
    469,902.45x = 704,847.57 × 114,919.55
  4. Step 4: Simplify right side
    469,902.45x = 81,000,765,562.99
  5. Step 5: Solve for x
    x = 81,000,765,562.99/469,902.45
  6. Step 6: Final answer
    x = 172,377.83

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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.