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Finding the Fourth Proportional to 348,643.56, 523,245.60 and 180,213.27

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Solution

The fourth proportional to 348,643.56, 523,245.60 and 180,213.27 is: 270,464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,643.56 : 523,245.60 = 180,213.27 : x
  2. Step 2: Convert to fraction form
    348,643.56/523,245.60 = 180,213.27/x
  3. Step 3: Cross multiply
    348,643.56x = 523,245.60 × 180,213.27
  4. Step 4: Simplify right side
    348,643.56x = 94,295,800,589.11
  5. Step 5: Solve for x
    x = 94,295,800,589.11/348,643.56
  6. Step 6: Final answer
    x = 270,464.77

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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.