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Finding the Fourth Proportional to 414,701.24, 622,134.88 and 130,463.33

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Solution

The fourth proportional to 414,701.24, 622,134.88 and 130,463.33 is: 195,721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,701.24 : 622,134.88 = 130,463.33 : x
  2. Step 2: Convert to fraction form
    414,701.24/622,134.88 = 130,463.33/x
  3. Step 3: Cross multiply
    414,701.24x = 622,134.88 × 130,463.33
  4. Step 4: Simplify right side
    414,701.24x = 81,165,784,717.12
  5. Step 5: Solve for x
    x = 81,165,784,717.12/414,701.24
  6. Step 6: Final answer
    x = 195,721.11

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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.