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Finding the Fourth Proportional to 313,426.80, 470,183.40 and 113,698.80

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Solution

The fourth proportional to 313,426.80, 470,183.40 and 113,698.80 is: 170,563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,426.80 : 470,183.40 = 113,698.80 : x
  2. Step 2: Convert to fraction form
    313,426.80/470,183.40 = 113,698.80/x
  3. Step 3: Cross multiply
    313,426.80x = 470,183.40 × 113,698.80
  4. Step 4: Simplify right side
    313,426.80x = 53,459,288,359.92
  5. Step 5: Solve for x
    x = 53,459,288,359.92/313,426.80
  6. Step 6: Final answer
    x = 170,563.87

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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.