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Finding the Fourth Proportional to 384,216.63, 530,224.41 and 214,450.75

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Solution

The fourth proportional to 384,216.63, 530,224.41 and 214,450.75 is: 295,945.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,216.63 : 530,224.41 = 214,450.75 : x
  2. Step 2: Convert to fraction form
    384,216.63/530,224.41 = 214,450.75/x
  3. Step 3: Cross multiply
    384,216.63x = 530,224.41 × 214,450.75
  4. Step 4: Simplify right side
    384,216.63x = 113,707,022,392.81
  5. Step 5: Solve for x
    x = 113,707,022,392.81/384,216.63
  6. Step 6: Final answer
    x = 295,945.08

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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.