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Finding the Fourth Proportional to 408,872.80, 613,309.20 and 184,486.60

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Solution

The fourth proportional to 408,872.80, 613,309.20 and 184,486.60 is: 276,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,872.80 : 613,309.20 = 184,486.60 : x
  2. Step 2: Convert to fraction form
    408,872.80/613,309.20 = 184,486.60/x
  3. Step 3: Cross multiply
    408,872.80x = 613,309.20 × 184,486.60
  4. Step 4: Simplify right side
    408,872.80x = 113,147,329,056.72
  5. Step 5: Solve for x
    x = 113,147,329,056.72/408,872.80
  6. Step 6: Final answer
    x = 276,729.90

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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.