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Finding the Fourth Proportional to 313,856.80, 470,266.80 and 267,200.80

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Solution

The fourth proportional to 313,856.80, 470,266.80 and 267,200.80 is: 400,359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,856.80 : 470,266.80 = 267,200.80 : x
  2. Step 2: Convert to fraction form
    313,856.80/470,266.80 = 267,200.80/x
  3. Step 3: Cross multiply
    313,856.80x = 470,266.80 × 267,200.80
  4. Step 4: Simplify right side
    313,856.80x = 125,655,665,173.44
  5. Step 5: Solve for x
    x = 125,655,665,173.44/313,856.80
  6. Step 6: Final answer
    x = 400,359.86

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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.