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Finding the Fourth Proportional to 384,164.72, 530,184.16 and 214,414.64

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Solution

The fourth proportional to 384,164.72, 530,184.16 and 214,414.64 is: 295,912.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,164.72 : 530,184.16 = 214,414.64 : x
  2. Step 2: Convert to fraction form
    384,164.72/530,184.16 = 214,414.64/x
  3. Step 3: Cross multiply
    384,164.72x = 530,184.16 × 214,414.64
  4. Step 4: Simplify right side
    384,164.72x = 113,679,245,800.10
  5. Step 5: Solve for x
    x = 113,679,245,800.10/384,164.72
  6. Step 6: Final answer
    x = 295,912.77

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