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Finding the Fourth Proportional to 276,523.49, 414,946.25 and 116,589.40

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Solution

The fourth proportional to 276,523.49, 414,946.25 and 116,589.40 is: 174,951.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,523.49 : 414,946.25 = 116,589.40 : x
  2. Step 2: Convert to fraction form
    276,523.49/414,946.25 = 116,589.40/x
  3. Step 3: Cross multiply
    276,523.49x = 414,946.25 × 116,589.40
  4. Step 4: Simplify right side
    276,523.49x = 48,378,334,319.75
  5. Step 5: Solve for x
    x = 48,378,334,319.75/276,523.49
  6. Step 6: Final answer
    x = 174,951.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.