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Finding the Fourth Proportional to 414,960.60, 622,440.90 and 149,021.40

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Solution

The fourth proportional to 414,960.60, 622,440.90 and 149,021.40 is: 223,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,960.60 : 622,440.90 = 149,021.40 : x
  2. Step 2: Convert to fraction form
    414,960.60/622,440.90 = 149,021.40/x
  3. Step 3: Cross multiply
    414,960.60x = 622,440.90 × 149,021.40
  4. Step 4: Simplify right side
    414,960.60x = 92,757,014,335.26
  5. Step 5: Solve for x
    x = 92,757,014,335.26/414,960.60
  6. Step 6: Final answer
    x = 223,532.10

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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.