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Finding the Fourth Proportional to 383,908.68, 575,863.02 and 196,800.84

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Solution

The fourth proportional to 383,908.68, 575,863.02 and 196,800.84 is: 295,201.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,908.68 : 575,863.02 = 196,800.84 : x
  2. Step 2: Convert to fraction form
    383,908.68/575,863.02 = 196,800.84/x
  3. Step 3: Cross multiply
    383,908.68x = 575,863.02 × 196,800.84
  4. Step 4: Simplify right side
    383,908.68x = 113,330,326,060.94
  5. Step 5: Solve for x
    x = 113,330,326,060.94/383,908.68
  6. Step 6: Final answer
    x = 295,201.26

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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.