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Finding the Fourth Proportional to 258,524.40, 388,078.20 and 199,621.20

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Solution

The fourth proportional to 258,524.40, 388,078.20 and 199,621.20 is: 299,656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,524.40 : 388,078.20 = 199,621.20 : x
  2. Step 2: Convert to fraction form
    258,524.40/388,078.20 = 199,621.20/x
  3. Step 3: Cross multiply
    258,524.40x = 388,078.20 × 199,621.20
  4. Step 4: Simplify right side
    258,524.40x = 77,468,635,977.84
  5. Step 5: Solve for x
    x = 77,468,635,977.84/258,524.40
  6. Step 6: Final answer
    x = 299,656.96

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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.