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Finding the Fourth Proportional to 436,854.28, 654,727.38 and 196,711.96

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Solution

The fourth proportional to 436,854.28, 654,727.38 and 196,711.96 is: 294,818.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,854.28 : 654,727.38 = 196,711.96 : x
  2. Step 2: Convert to fraction form
    436,854.28/654,727.38 = 196,711.96/x
  3. Step 3: Cross multiply
    436,854.28x = 654,727.38 × 196,711.96
  4. Step 4: Simplify right side
    436,854.28x = 128,792,706,185.47
  5. Step 5: Solve for x
    x = 128,792,706,185.47/436,854.28
  6. Step 6: Final answer
    x = 294,818.46

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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.