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Finding the Fourth Proportional to 314,311.80, 470,949.30 and 267,655.80

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Solution

The fourth proportional to 314,311.80, 470,949.30 and 267,655.80 is: 401,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,311.80 : 470,949.30 = 267,655.80 : x
  2. Step 2: Convert to fraction form
    314,311.80/470,949.30 = 267,655.80/x
  3. Step 3: Cross multiply
    314,311.80x = 470,949.30 × 267,655.80
  4. Step 4: Simplify right side
    314,311.80x = 126,052,311,650.94
  5. Step 5: Solve for x
    x = 126,052,311,650.94/314,311.80
  6. Step 6: Final answer
    x = 401,042.25

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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.