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Finding the Fourth Proportional to 327,533.52, 452,022.84 and 184,285.20

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Solution

The fourth proportional to 327,533.52, 452,022.84 and 184,285.20 is: 254,328.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,533.52 : 452,022.84 = 184,285.20 : x
  2. Step 2: Convert to fraction form
    327,533.52/452,022.84 = 184,285.20/x
  3. Step 3: Cross multiply
    327,533.52x = 452,022.84 × 184,285.20
  4. Step 4: Simplify right side
    327,533.52x = 83,301,119,473.97
  5. Step 5: Solve for x
    x = 83,301,119,473.97/327,533.52
  6. Step 6: Final answer
    x = 254,328.53

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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.