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Finding the Fourth Proportional to 313,972.20, 470,958.30 and 226,054.80

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Solution

The fourth proportional to 313,972.20, 470,958.30 and 226,054.80 is: 339,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,972.20 : 470,958.30 = 226,054.80 : x
  2. Step 2: Convert to fraction form
    313,972.20/470,958.30 = 226,054.80/x
  3. Step 3: Cross multiply
    313,972.20x = 470,958.30 × 226,054.80
  4. Step 4: Simplify right side
    313,972.20x = 106,462,384,314.84
  5. Step 5: Solve for x
    x = 106,462,384,314.84/313,972.20
  6. Step 6: Final answer
    x = 339,082.20

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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.