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Finding the Fourth Proportional to 409,481.87, 614,290.41 and 184,837.32

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Solution

The fourth proportional to 409,481.87, 614,290.41 and 184,837.32 is: 277,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,481.87 : 614,290.41 = 184,837.32 : x
  2. Step 2: Convert to fraction form
    409,481.87/614,290.41 = 184,837.32/x
  3. Step 3: Cross multiply
    409,481.87x = 614,290.41 × 184,837.32
  4. Step 4: Simplify right side
    409,481.87x = 113,543,793,086.10
  5. Step 5: Solve for x
    x = 113,543,793,086.10/409,481.87
  6. Step 6: Final answer
    x = 277,286.50

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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.