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Finding the Fourth Proportional to 276,596.29, 414,722.60 and 116,589.90

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Solution

The fourth proportional to 276,596.29, 414,722.60 and 116,589.90 is: 174,812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,596.29 : 414,722.60 = 116,589.90 : x
  2. Step 2: Convert to fraction form
    276,596.29/414,722.60 = 116,589.90/x
  3. Step 3: Cross multiply
    276,596.29x = 414,722.60 × 116,589.90
  4. Step 4: Simplify right side
    276,596.29x = 48,352,463,805.18
  5. Step 5: Solve for x
    x = 48,352,463,805.18/276,596.29
  6. Step 6: Final answer
    x = 174,812.41

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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.