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Finding the Fourth Proportional to 408,844.60, 613,048.20 and 171,919.60

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Solution

The fourth proportional to 408,844.60, 613,048.20 and 171,919.60 is: 257,787.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,844.60 : 613,048.20 = 171,919.60 : x
  2. Step 2: Convert to fraction form
    408,844.60/613,048.20 = 171,919.60/x
  3. Step 3: Cross multiply
    408,844.60x = 613,048.20 × 171,919.60
  4. Step 4: Simplify right side
    408,844.60x = 105,395,001,324.72
  5. Step 5: Solve for x
    x = 105,395,001,324.72/408,844.60
  6. Step 6: Final answer
    x = 257,787.44

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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.