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Finding the Fourth Proportional to 313,820.80, 470,212.80 and 267,164.80

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Solution

The fourth proportional to 313,820.80, 470,212.80 and 267,164.80 is: 400,305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,820.80 : 470,212.80 = 267,164.80 : x
  2. Step 2: Convert to fraction form
    313,820.80/470,212.80 = 267,164.80/x
  3. Step 3: Cross multiply
    313,820.80x = 470,212.80 × 267,164.80
  4. Step 4: Simplify right side
    313,820.80x = 125,624,308,669.44
  5. Step 5: Solve for x
    x = 125,624,308,669.44/313,820.80
  6. Step 6: Final answer
    x = 400,305.87

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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.