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Finding the Fourth Proportional to 409,493.52, 614,318.04 and 184,857.84

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Solution

The fourth proportional to 409,493.52, 614,318.04 and 184,857.84 is: 277,321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,493.52 : 614,318.04 = 184,857.84 : x
  2. Step 2: Convert to fraction form
    409,493.52/614,318.04 = 184,857.84/x
  3. Step 3: Cross multiply
    409,493.52x = 614,318.04 × 184,857.84
  4. Step 4: Simplify right side
    409,493.52x = 113,561,505,947.43
  5. Step 5: Solve for x
    x = 113,561,505,947.43/409,493.52
  6. Step 6: Final answer
    x = 277,321.86

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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.