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Finding the Fourth Proportional to 384,485.44, 530,584.32 and 214,721.92

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Solution

The fourth proportional to 384,485.44, 530,584.32 and 214,721.92 is: 296,313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,485.44 : 530,584.32 = 214,721.92 : x
  2. Step 2: Convert to fraction form
    384,485.44/530,584.32 = 214,721.92/x
  3. Step 3: Cross multiply
    384,485.44x = 530,584.32 × 214,721.92
  4. Step 4: Simplify right side
    384,485.44x = 113,928,083,912.29
  5. Step 5: Solve for x
    x = 113,928,083,912.29/384,485.44
  6. Step 6: Final answer
    x = 296,313.13

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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.