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Finding the Fourth Proportional to 408,858.80, 613,288.20 and 184,472.60

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Solution

The fourth proportional to 408,858.80, 613,288.20 and 184,472.60 is: 276,708.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,858.80 : 613,288.20 = 184,472.60 : x
  2. Step 2: Convert to fraction form
    408,858.80/613,288.20 = 184,472.60/x
  3. Step 3: Cross multiply
    408,858.80x = 613,288.20 × 184,472.60
  4. Step 4: Simplify right side
    408,858.80x = 113,134,868,803.32
  5. Step 5: Solve for x
    x = 113,134,868,803.32/408,858.80
  6. Step 6: Final answer
    x = 276,708.90

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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.