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Finding the Fourth Proportional to 414,846.50, 622,398.93 and 148,609.32

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Solution

The fourth proportional to 414,846.50, 622,398.93 and 148,609.32 is: 222,960.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,846.50 : 622,398.93 = 148,609.32 : x
  2. Step 2: Convert to fraction form
    414,846.50/622,398.93 = 148,609.32/x
  3. Step 3: Cross multiply
    414,846.50x = 622,398.93 × 148,609.32
  4. Step 4: Simplify right side
    414,846.50x = 92,494,284,534.20
  5. Step 5: Solve for x
    x = 92,494,284,534.20/414,846.50
  6. Step 6: Final answer
    x = 222,960.26

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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.