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Finding the Fourth Proportional to 471,535.39, 706,746.09 and 201,584.57

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Solution

The fourth proportional to 471,535.39, 706,746.09 and 201,584.57 is: 302,138.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,535.39 : 706,746.09 = 201,584.57 : x
  2. Step 2: Convert to fraction form
    471,535.39/706,746.09 = 201,584.57/x
  3. Step 3: Cross multiply
    471,535.39x = 706,746.09 × 201,584.57
  4. Step 4: Simplify right side
    471,535.39x = 142,469,103,874.04
  5. Step 5: Solve for x
    x = 142,469,103,874.04/471,535.39
  6. Step 6: Final answer
    x = 302,138.73

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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.