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Finding the Fourth Proportional to 416,132.40, 622,643.40 and 276,164.40

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Solution

The fourth proportional to 416,132.40, 622,643.40 and 276,164.40 is: 413,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,132.40 : 622,643.40 = 276,164.40 : x
  2. Step 2: Convert to fraction form
    416,132.40/622,643.40 = 276,164.40/x
  3. Step 3: Cross multiply
    416,132.40x = 622,643.40 × 276,164.40
  4. Step 4: Simplify right side
    416,132.40x = 171,951,940,974.96
  5. Step 5: Solve for x
    x = 171,951,940,974.96/416,132.40
  6. Step 6: Final answer
    x = 413,214.50

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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.