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Finding the Fourth Proportional to 484,730.16, 726,757.93 and 214,711.71

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Solution

The fourth proportional to 484,730.16, 726,757.93 and 214,711.71 is: 321,918.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,730.16 : 726,757.93 = 214,711.71 : x
  2. Step 2: Convert to fraction form
    484,730.16/726,757.93 = 214,711.71/x
  3. Step 3: Cross multiply
    484,730.16x = 726,757.93 × 214,711.71
  4. Step 4: Simplify right side
    484,730.16x = 156,043,437,906.36
  5. Step 5: Solve for x
    x = 156,043,437,906.36/484,730.16
  6. Step 6: Final answer
    x = 321,918.15

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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.