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Finding the Fourth Proportional to 384,469.44, 530,562.24 and 214,705.92

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Solution

The fourth proportional to 384,469.44, 530,562.24 and 214,705.92 is: 296,291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,469.44 : 530,562.24 = 214,705.92 : x
  2. Step 2: Convert to fraction form
    384,469.44/530,562.24 = 214,705.92/x
  3. Step 3: Cross multiply
    384,469.44x = 530,562.24 × 214,705.92
  4. Step 4: Simplify right side
    384,469.44x = 113,914,853,856.46
  5. Step 5: Solve for x
    x = 113,914,853,856.46/384,469.44
  6. Step 6: Final answer
    x = 296,291.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.