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Finding the Fourth Proportional to 276,086.40, 414,129.60 and 276,086.40

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Solution

The fourth proportional to 276,086.40, 414,129.60 and 276,086.40 is: 414,129.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,086.40 : 414,129.60 = 276,086.40 : x
  2. Step 2: Convert to fraction form
    276,086.40/414,129.60 = 276,086.40/x
  3. Step 3: Cross multiply
    276,086.40x = 414,129.60 × 276,086.40
  4. Step 4: Simplify right side
    276,086.40x = 114,335,550,397.44
  5. Step 5: Solve for x
    x = 114,335,550,397.44/276,086.40
  6. Step 6: Final answer
    x = 414,129.60

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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.