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Finding the Fourth Proportional to 276,497.24, 414,847.22 and 116,613.41

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Solution

The fourth proportional to 276,497.24, 414,847.22 and 116,613.41 is: 174,962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,497.24 : 414,847.22 = 116,613.41 : x
  2. Step 2: Convert to fraction form
    276,497.24/414,847.22 = 116,613.41/x
  3. Step 3: Cross multiply
    276,497.24x = 414,847.22 × 116,613.41
  4. Step 4: Simplify right side
    276,497.24x = 48,376,746,295.92
  5. Step 5: Solve for x
    x = 48,376,746,295.92/276,497.24
  6. Step 6: Final answer
    x = 174,962.86

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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.