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Finding the Fourth Proportional to 408,830.60, 613,027.20 and 171,905.60

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Solution

The fourth proportional to 408,830.60, 613,027.20 and 171,905.60 is: 257,766.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,830.60 : 613,027.20 = 171,905.60 : x
  2. Step 2: Convert to fraction form
    408,830.60/613,027.20 = 171,905.60/x
  3. Step 3: Cross multiply
    408,830.60x = 613,027.20 × 171,905.60
  4. Step 4: Simplify right side
    408,830.60x = 105,382,808,632.32
  5. Step 5: Solve for x
    x = 105,382,808,632.32/408,830.60
  6. Step 6: Final answer
    x = 257,766.44

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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.