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Finding the Fourth Proportional to 217,224.30, 325,836.45 and 184,419.30

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Solution

The fourth proportional to 217,224.30, 325,836.45 and 184,419.30 is: 276,628.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,224.30 : 325,836.45 = 184,419.30 : x
  2. Step 2: Convert to fraction form
    217,224.30/325,836.45 = 184,419.30/x
  3. Step 3: Cross multiply
    217,224.30x = 325,836.45 × 184,419.30
  4. Step 4: Simplify right side
    217,224.30x = 60,090,530,023.49
  5. Step 5: Solve for x
    x = 60,090,530,023.49/217,224.30
  6. Step 6: Final answer
    x = 276,628.95

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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.