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Finding the Fourth Proportional to 802,804, 1,204,286.72 and 211,828

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Solution

The fourth proportional to 802,804, 1,204,286.72 and 211,828 is: 317,763.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,804 : 1,204,286.72 = 211,828 : x
  2. Step 2: Convert to fraction form
    802,804/1,204,286.72 = 211,828/x
  3. Step 3: Cross multiply
    802,804x = 1,204,286.72 × 211,828
  4. Step 4: Simplify right side
    802,804x = 255,101,647,324.16
  5. Step 5: Solve for x
    x = 255,101,647,324.16/802,804
  6. Step 6: Final answer
    x = 317,763.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.