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Finding the Fourth Proportional to 394,701.42, 592,139.61 and 184,224.54

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Solution

The fourth proportional to 394,701.42, 592,139.61 and 184,224.54 is: 276,377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,701.42 : 592,139.61 = 184,224.54 : x
  2. Step 2: Convert to fraction form
    394,701.42/592,139.61 = 184,224.54/x
  3. Step 3: Cross multiply
    394,701.42x = 592,139.61 × 184,224.54
  4. Step 4: Simplify right side
    394,701.42x = 109,086,647,268.03
  5. Step 5: Solve for x
    x = 109,086,647,268.03/394,701.42
  6. Step 6: Final answer
    x = 276,377.64

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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.