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Finding the Fourth Proportional to 276,822.60, 414,577.80 and 276,822.60

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Solution

The fourth proportional to 276,822.60, 414,577.80 and 276,822.60 is: 414,577.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,822.60 : 414,577.80 = 276,822.60 : x
  2. Step 2: Convert to fraction form
    276,822.60/414,577.80 = 276,822.60/x
  3. Step 3: Cross multiply
    276,822.60x = 414,577.80 × 276,822.60
  4. Step 4: Simplify right side
    276,822.60x = 114,764,504,498.28
  5. Step 5: Solve for x
    x = 114,764,504,498.28/276,822.60
  6. Step 6: Final answer
    x = 414,577.80

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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.