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Finding the Fourth Proportional to 313,969.40, 470,954.10 and 187,998.20

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Solution

The fourth proportional to 313,969.40, 470,954.10 and 187,998.20 is: 281,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,969.40 : 470,954.10 = 187,998.20 : x
  2. Step 2: Convert to fraction form
    313,969.40/470,954.10 = 187,998.20/x
  3. Step 3: Cross multiply
    313,969.40x = 470,954.10 × 187,998.20
  4. Step 4: Simplify right side
    313,969.40x = 88,538,523,082.62
  5. Step 5: Solve for x
    x = 88,538,523,082.62/313,969.40
  6. Step 6: Final answer
    x = 281,997.30

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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.