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Finding the Fourth Proportional to 313,843.28, 470,616.94 and 114,022.76

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Solution

The fourth proportional to 313,843.28, 470,616.94 and 114,022.76 is: 170,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,843.28 : 470,616.94 = 114,022.76 : x
  2. Step 2: Convert to fraction form
    313,843.28/470,616.94 = 114,022.76/x
  3. Step 3: Cross multiply
    313,843.28x = 470,616.94 × 114,022.76
  4. Step 4: Simplify right side
    313,843.28x = 53,661,042,401.55
  5. Step 5: Solve for x
    x = 53,661,042,401.55/313,843.28
  6. Step 6: Final answer
    x = 170,980.38

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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.