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Finding the Fourth Proportional to 399,807.12, 599,415.30 and 189,198.48

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Solution

The fourth proportional to 399,807.12, 599,415.30 and 189,198.48 is: 283,657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,807.12 : 599,415.30 = 189,198.48 : x
  2. Step 2: Convert to fraction form
    399,807.12/599,415.30 = 189,198.48/x
  3. Step 3: Cross multiply
    399,807.12x = 599,415.30 × 189,198.48
  4. Step 4: Simplify right side
    399,807.12x = 113,408,463,648.74
  5. Step 5: Solve for x
    x = 113,408,463,648.74/399,807.12
  6. Step 6: Final answer
    x = 283,657.94

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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.