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Finding the Fourth Proportional to 276,823.60, 414,579.30 and 276,823.60

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Solution

The fourth proportional to 276,823.60, 414,579.30 and 276,823.60 is: 414,579.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,823.60 : 414,579.30 = 276,823.60 : x
  2. Step 2: Convert to fraction form
    276,823.60/414,579.30 = 276,823.60/x
  3. Step 3: Cross multiply
    276,823.60x = 414,579.30 × 276,823.60
  4. Step 4: Simplify right side
    276,823.60x = 114,765,334,311.48
  5. Step 5: Solve for x
    x = 114,765,334,311.48/276,823.60
  6. Step 6: Final answer
    x = 414,579.30

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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.