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Finding the Fourth Proportional to 394,624.58, 592,024.54 and 184,147.70

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Solution

The fourth proportional to 394,624.58, 592,024.54 and 184,147.70 is: 276,262.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,624.58 : 592,024.54 = 184,147.70 : x
  2. Step 2: Convert to fraction form
    394,624.58/592,024.54 = 184,147.70/x
  3. Step 3: Cross multiply
    394,624.58x = 592,024.54 × 184,147.70
  4. Step 4: Simplify right side
    394,624.58x = 109,019,957,384.56
  5. Step 5: Solve for x
    x = 109,019,957,384.56/394,624.58
  6. Step 6: Final answer
    x = 276,262.46

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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.