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Finding the Fourth Proportional to 394,909, 592,144.58 and 184,432.12

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Solution

The fourth proportional to 394,909, 592,144.58 and 184,432.12 is: 276,545.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,909 : 592,144.58 = 184,432.12 : x
  2. Step 2: Convert to fraction form
    394,909/592,144.58 = 184,432.12/x
  3. Step 3: Cross multiply
    394,909x = 592,144.58 × 184,432.12
  4. Step 4: Simplify right side
    394,909x = 109,210,480,235.91
  5. Step 5: Solve for x
    x = 109,210,480,235.91/394,909
  6. Step 6: Final answer
    x = 276,545.94

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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.