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Finding the Fourth Proportional to 412,066.44, 618,310.60 and 196,169.50

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Solution

The fourth proportional to 412,066.44, 618,310.60 and 196,169.50 is: 294,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,066.44 : 618,310.60 = 196,169.50 : x
  2. Step 2: Convert to fraction form
    412,066.44/618,310.60 = 196,169.50/x
  3. Step 3: Cross multiply
    412,066.44x = 618,310.60 × 196,169.50
  4. Step 4: Simplify right side
    412,066.44x = 121,293,681,246.70
  5. Step 5: Solve for x
    x = 121,293,681,246.70/412,066.44
  6. Step 6: Final answer
    x = 294,354.67

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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.