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Finding the Fourth Proportional to 386,732.43, 580,114.38 and 184,224.44

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Solution

The fourth proportional to 386,732.43, 580,114.38 and 184,224.44 is: 276,344.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,732.43 : 580,114.38 = 184,224.44 : x
  2. Step 2: Convert to fraction form
    386,732.43/580,114.38 = 184,224.44/x
  3. Step 3: Cross multiply
    386,732.43x = 580,114.38 × 184,224.44
  4. Step 4: Simplify right side
    386,732.43x = 106,871,243,890.88
  5. Step 5: Solve for x
    x = 106,871,243,890.88/386,732.43
  6. Step 6: Final answer
    x = 276,344.15

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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.