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Finding the Fourth Proportional to 414,881.42, 622,183.46 and 162,096.34

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Solution

The fourth proportional to 414,881.42, 622,183.46 and 162,096.34 is: 243,090.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,881.42 : 622,183.46 = 162,096.34 : x
  2. Step 2: Convert to fraction form
    414,881.42/622,183.46 = 162,096.34/x
  3. Step 3: Cross multiply
    414,881.42x = 622,183.46 × 162,096.34
  4. Step 4: Simplify right side
    414,881.42x = 100,853,661,674.54
  5. Step 5: Solve for x
    x = 100,853,661,674.54/414,881.42
  6. Step 6: Final answer
    x = 243,090.33

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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.