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Finding the Fourth Proportional to 313,919.92, 471,175.84 and 114,433.12

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Solution

The fourth proportional to 313,919.92, 471,175.84 and 114,433.12 is: 171,757.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,919.92 : 471,175.84 = 114,433.12 : x
  2. Step 2: Convert to fraction form
    313,919.92/471,175.84 = 114,433.12/x
  3. Step 3: Cross multiply
    313,919.92x = 471,175.84 × 114,433.12
  4. Step 4: Simplify right side
    313,919.92x = 53,918,121,439.82
  5. Step 5: Solve for x
    x = 53,918,121,439.82/313,919.92
  6. Step 6: Final answer
    x = 171,757.57

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1.5x scale

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.