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Finding the Fourth Proportional to 408,135.40, 612,494.70 and 171,647.80

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Solution

The fourth proportional to 408,135.40, 612,494.70 and 171,647.80 is: 257,594.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,135.40 : 612,494.70 = 171,647.80 : x
  2. Step 2: Convert to fraction form
    408,135.40/612,494.70 = 171,647.80/x
  3. Step 3: Cross multiply
    408,135.40x = 612,494.70 × 171,647.80
  4. Step 4: Simplify right side
    408,135.40x = 105,133,367,766.66
  5. Step 5: Solve for x
    x = 105,133,367,766.66/408,135.40
  6. Step 6: Final answer
    x = 257,594.34

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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.