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Finding the Fourth Proportional to 306,109.66, 459,169.17 and 116,580.56

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Solution

The fourth proportional to 306,109.66, 459,169.17 and 116,580.56 is: 174,872.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,109.66 : 459,169.17 = 116,580.56 : x
  2. Step 2: Convert to fraction form
    306,109.66/459,169.17 = 116,580.56/x
  3. Step 3: Cross multiply
    306,109.66x = 459,169.17 × 116,580.56
  4. Step 4: Simplify right side
    306,109.66x = 53,530,198,390.43
  5. Step 5: Solve for x
    x = 53,530,198,390.43/306,109.66
  6. Step 6: Final answer
    x = 174,872.62

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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.