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Finding the Fourth Proportional to 446,540.72, 669,832.94 and 180,268.00

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Solution

The fourth proportional to 446,540.72, 669,832.94 and 180,268.00 is: 270,410.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,540.72 : 669,832.94 = 180,268.00 : x
  2. Step 2: Convert to fraction form
    446,540.72/669,832.94 = 180,268.00/x
  3. Step 3: Cross multiply
    446,540.72x = 669,832.94 × 180,268.00
  4. Step 4: Simplify right side
    446,540.72x = 120,749,443,204.01
  5. Step 5: Solve for x
    x = 120,749,443,204.01/446,540.72
  6. Step 6: Final answer
    x = 270,410.83

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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.