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Finding the Fourth Proportional to 465,829.56, 699,015.24 and 195,937.92

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Solution

The fourth proportional to 465,829.56, 699,015.24 and 195,937.92 is: 294,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,829.56 : 699,015.24 = 195,937.92 : x
  2. Step 2: Convert to fraction form
    465,829.56/699,015.24 = 195,937.92/x
  3. Step 3: Cross multiply
    465,829.56x = 699,015.24 × 195,937.92
  4. Step 4: Simplify right side
    465,829.56x = 136,963,592,173.90
  5. Step 5: Solve for x
    x = 136,963,592,173.90/465,829.56
  6. Step 6: Final answer
    x = 294,020.83

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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.