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Finding the Fourth Proportional to 414,670.20, 622,005.30 and 148,439.40

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Solution

The fourth proportional to 414,670.20, 622,005.30 and 148,439.40 is: 222,659.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,670.20 : 622,005.30 = 148,439.40 : x
  2. Step 2: Convert to fraction form
    414,670.20/622,005.30 = 148,439.40/x
  3. Step 3: Cross multiply
    414,670.20x = 622,005.30 × 148,439.40
  4. Step 4: Simplify right side
    414,670.20x = 92,330,093,528.82
  5. Step 5: Solve for x
    x = 92,330,093,528.82/414,670.20
  6. Step 6: Final answer
    x = 222,659.10

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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.