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Finding the Fourth Proportional to 408,957.40, 613,588.38 and 184,250.44

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Solution

The fourth proportional to 408,957.40, 613,588.38 and 184,250.44 is: 276,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,957.40 : 613,588.38 = 184,250.44 : x
  2. Step 2: Convert to fraction form
    408,957.40/613,588.38 = 184,250.44/x
  3. Step 3: Cross multiply
    408,957.40x = 613,588.38 × 184,250.44
  4. Step 4: Simplify right side
    408,957.40x = 113,053,928,993.89
  5. Step 5: Solve for x
    x = 113,053,928,993.89/408,957.40
  6. Step 6: Final answer
    x = 276,444.27

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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.