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Finding the Fourth Proportional to 408,857.80, 613,286.70 and 184,471.60

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Solution

The fourth proportional to 408,857.80, 613,286.70 and 184,471.60 is: 276,707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,857.80 : 613,286.70 = 184,471.60 : x
  2. Step 2: Convert to fraction form
    408,857.80/613,286.70 = 184,471.60/x
  3. Step 3: Cross multiply
    408,857.80x = 613,286.70 × 184,471.60
  4. Step 4: Simplify right side
    408,857.80x = 113,133,978,807.72
  5. Step 5: Solve for x
    x = 113,133,978,807.72/408,857.80
  6. Step 6: Final answer
    x = 276,707.40

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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.