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Finding the Fourth Proportional to 414,735.68, 622,212.16 and 130,414.76

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Solution

The fourth proportional to 414,735.68, 622,212.16 and 130,414.76 is: 195,656.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,735.68 : 622,212.16 = 130,414.76 : x
  2. Step 2: Convert to fraction form
    414,735.68/622,212.16 = 130,414.76/x
  3. Step 3: Cross multiply
    414,735.68x = 622,212.16 × 130,414.76
  4. Step 4: Simplify right side
    414,735.68x = 81,145,649,515.48
  5. Step 5: Solve for x
    x = 81,145,649,515.48/414,735.68
  6. Step 6: Final answer
    x = 195,656.30

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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.