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Finding the Fourth Proportional to 414,099.40, 620,821.05 and 227,110.90

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Solution

The fourth proportional to 414,099.40, 620,821.05 and 227,110.90 is: 340,486.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,099.40 : 620,821.05 = 227,110.90 : x
  2. Step 2: Convert to fraction form
    414,099.40/620,821.05 = 227,110.90/x
  3. Step 3: Cross multiply
    414,099.40x = 620,821.05 × 227,110.90
  4. Step 4: Simplify right side
    414,099.40x = 140,995,227,404.45
  5. Step 5: Solve for x
    x = 140,995,227,404.45/414,099.40
  6. Step 6: Final answer
    x = 340,486.43

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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.