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Finding the Fourth Proportional to 470,517.93, 705,380.14 and 204,077.78

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Solution

The fourth proportional to 470,517.93, 705,380.14 and 204,077.78 is: 305,944.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,517.93 : 705,380.14 = 204,077.78 : x
  2. Step 2: Convert to fraction form
    470,517.93/705,380.14 = 204,077.78/x
  3. Step 3: Cross multiply
    470,517.93x = 705,380.14 × 204,077.78
  4. Step 4: Simplify right side
    470,517.93x = 143,952,408,480.00
  5. Step 5: Solve for x
    x = 143,952,408,480.00/470,517.93
  6. Step 6: Final answer
    x = 305,944.58

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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.