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Finding the Fourth Proportional to 291,659.57, 437,964.00 and 180,049.27

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Solution

The fourth proportional to 291,659.57, 437,964.00 and 180,049.27 is: 270,366.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,659.57 : 437,964.00 = 180,049.27 : x
  2. Step 2: Convert to fraction form
    291,659.57/437,964.00 = 180,049.27/x
  3. Step 3: Cross multiply
    291,659.57x = 437,964.00 × 180,049.27
  4. Step 4: Simplify right side
    291,659.57x = 78,855,096,716.19
  5. Step 5: Solve for x
    x = 78,855,096,716.19/291,659.57
  6. Step 6: Final answer
    x = 270,366.91

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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.