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Finding the Fourth Proportional to 414,917.80, 622,376.70 and 134,463.40

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Solution

The fourth proportional to 414,917.80, 622,376.70 and 134,463.40 is: 201,695.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,917.80 : 622,376.70 = 134,463.40 : x
  2. Step 2: Convert to fraction form
    414,917.80/622,376.70 = 134,463.40/x
  3. Step 3: Cross multiply
    414,917.80x = 622,376.70 × 134,463.40
  4. Step 4: Simplify right side
    414,917.80x = 83,686,887,162.78
  5. Step 5: Solve for x
    x = 83,686,887,162.78/414,917.80
  6. Step 6: Final answer
    x = 201,695.10

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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.