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Finding the Fourth Proportional to 276,065.20, 414,097.80 and 262,943.20

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Solution

The fourth proportional to 276,065.20, 414,097.80 and 262,943.20 is: 394,414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,065.20 : 414,097.80 = 262,943.20 : x
  2. Step 2: Convert to fraction form
    276,065.20/414,097.80 = 262,943.20/x
  3. Step 3: Cross multiply
    276,065.20x = 414,097.80 × 262,943.20
  4. Step 4: Simplify right side
    276,065.20x = 108,884,200,644.96
  5. Step 5: Solve for x
    x = 108,884,200,644.96/276,065.20
  6. Step 6: Final answer
    x = 394,414.80

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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.