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Finding the Fourth Proportional to 394,564.38, 592,040.97 and 184,171.74

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Solution

The fourth proportional to 394,564.38, 592,040.97 and 184,171.74 is: 276,348.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,564.38 : 592,040.97 = 184,171.74 : x
  2. Step 2: Convert to fraction form
    394,564.38/592,040.97 = 184,171.74/x
  3. Step 3: Cross multiply
    394,564.38x = 592,040.97 × 184,171.74
  4. Step 4: Simplify right side
    394,564.38x = 109,037,215,596.19
  5. Step 5: Solve for x
    x = 109,037,215,596.19/394,564.38
  6. Step 6: Final answer
    x = 276,348.35

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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.