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Finding the Fourth Proportional to 484,491.84, 726,834.96 and 168,864

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Solution

The fourth proportional to 484,491.84, 726,834.96 and 168,864 is: 253,329.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,491.84 : 726,834.96 = 168,864 : x
  2. Step 2: Convert to fraction form
    484,491.84/726,834.96 = 168,864/x
  3. Step 3: Cross multiply
    484,491.84x = 726,834.96 × 168,864
  4. Step 4: Simplify right side
    484,491.84x = 122,736,258,685.44
  5. Step 5: Solve for x
    x = 122,736,258,685.44/484,491.84
  6. Step 6: Final answer
    x = 253,329.88

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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.