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Finding the Fourth Proportional to 408,837.60, 613,037.70 and 171,912.60

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Solution

The fourth proportional to 408,837.60, 613,037.70 and 171,912.60 is: 257,776.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,837.60 : 613,037.70 = 171,912.60 : x
  2. Step 2: Convert to fraction form
    408,837.60/613,037.70 = 171,912.60/x
  3. Step 3: Cross multiply
    408,837.60x = 613,037.70 × 171,912.60
  4. Step 4: Simplify right side
    408,837.60x = 105,388,904,905.02
  5. Step 5: Solve for x
    x = 105,388,904,905.02/408,837.60
  6. Step 6: Final answer
    x = 257,776.94

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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.