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Finding the Fourth Proportional to 470,751.75, 705,729.60 and 204,311.97

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Solution

The fourth proportional to 470,751.75, 705,729.60 and 204,311.97 is: 306,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,751.75 : 705,729.60 = 204,311.97 : x
  2. Step 2: Convert to fraction form
    470,751.75/705,729.60 = 204,311.97/x
  3. Step 3: Cross multiply
    470,751.75x = 705,729.60 × 204,311.97
  4. Step 4: Simplify right side
    470,751.75x = 144,189,004,863.31
  5. Step 5: Solve for x
    x = 144,189,004,863.31/470,751.75
  6. Step 6: Final answer
    x = 306,295.21

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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.