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Finding the Fourth Proportional to 383,847.93, 575,771.90 and 196,740.09

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Solution

The fourth proportional to 383,847.93, 575,771.90 and 196,740.09 is: 295,110.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,847.93 : 575,771.90 = 196,740.09 : x
  2. Step 2: Convert to fraction form
    383,847.93/575,771.90 = 196,740.09/x
  3. Step 3: Cross multiply
    383,847.93x = 575,771.90 × 196,740.09
  4. Step 4: Simplify right side
    383,847.93x = 113,277,414,441.77
  5. Step 5: Solve for x
    x = 113,277,414,441.77/383,847.93
  6. Step 6: Final answer
    x = 295,110.14

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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.