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Finding the Fourth Proportional to 655,834.56, 983,890.08 and 212,568

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Solution

The fourth proportional to 655,834.56, 983,890.08 and 212,568 is: 318,896.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,834.56 : 983,890.08 = 212,568 : x
  2. Step 2: Convert to fraction form
    655,834.56/983,890.08 = 212,568/x
  3. Step 3: Cross multiply
    655,834.56x = 983,890.08 × 212,568
  4. Step 4: Simplify right side
    655,834.56x = 209,143,546,525.44
  5. Step 5: Solve for x
    x = 209,143,546,525.44/655,834.56
  6. Step 6: Final answer
    x = 318,896.81

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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.