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Finding the Fourth Proportional to 484,022.80, 726,293.40 and 217,824.40

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Solution

The fourth proportional to 484,022.80, 726,293.40 and 217,824.40 is: 326,853.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,022.80 : 726,293.40 = 217,824.40 : x
  2. Step 2: Convert to fraction form
    484,022.80/726,293.40 = 217,824.40/x
  3. Step 3: Cross multiply
    484,022.80x = 726,293.40 × 217,824.40
  4. Step 4: Simplify right side
    484,022.80x = 158,204,424,078.96
  5. Step 5: Solve for x
    x = 158,204,424,078.96/484,022.80
  6. Step 6: Final answer
    x = 326,853.25

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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.