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Finding the Fourth Proportional to 323,383.75, 484,707.77 and 196,744.86

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Solution

The fourth proportional to 323,383.75, 484,707.77 and 196,744.86 is: 294,893.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,383.75 : 484,707.77 = 196,744.86 : x
  2. Step 2: Convert to fraction form
    323,383.75/484,707.77 = 196,744.86/x
  3. Step 3: Cross multiply
    323,383.75x = 484,707.77 × 196,744.86
  4. Step 4: Simplify right side
    323,383.75x = 95,363,759,926.02
  5. Step 5: Solve for x
    x = 95,363,759,926.02/323,383.75
  6. Step 6: Final answer
    x = 294,893.49

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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.