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Finding the Fourth Proportional to 313,404.80, 470,107.20 and 180,694.40

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Solution

The fourth proportional to 313,404.80, 470,107.20 and 180,694.40 is: 271,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,404.80 : 470,107.20 = 180,694.40 : x
  2. Step 2: Convert to fraction form
    313,404.80/470,107.20 = 180,694.40/x
  3. Step 3: Cross multiply
    313,404.80x = 470,107.20 × 180,694.40
  4. Step 4: Simplify right side
    313,404.80x = 84,945,738,439.68
  5. Step 5: Solve for x
    x = 84,945,738,439.68/313,404.80
  6. Step 6: Final answer
    x = 271,041.60

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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.