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Finding the Fourth Proportional to 408,423.60, 612,635.40 and 258,832.80

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Solution

The fourth proportional to 408,423.60, 612,635.40 and 258,832.80 is: 388,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,423.60 : 612,635.40 = 258,832.80 : x
  2. Step 2: Convert to fraction form
    408,423.60/612,635.40 = 258,832.80/x
  3. Step 3: Cross multiply
    408,423.60x = 612,635.40 × 258,832.80
  4. Step 4: Simplify right side
    408,423.60x = 158,570,135,961.12
  5. Step 5: Solve for x
    x = 158,570,135,961.12/408,423.60
  6. Step 6: Final answer
    x = 388,249.20

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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.