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Finding the Fourth Proportional to 383,910.93, 575,866.40 and 196,803.09

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Solution

The fourth proportional to 383,910.93, 575,866.40 and 196,803.09 is: 295,204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,910.93 : 575,866.40 = 196,803.09 : x
  2. Step 2: Convert to fraction form
    383,910.93/575,866.40 = 196,803.09/x
  3. Step 3: Cross multiply
    383,910.93x = 575,866.40 × 196,803.09
  4. Step 4: Simplify right side
    383,910.93x = 113,332,285,963.16
  5. Step 5: Solve for x
    x = 113,332,285,963.16/383,910.93
  6. Step 6: Final answer
    x = 295,204.64

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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.