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Finding the Fourth Proportional to 655,110.56, 982,677.96 and 205,823

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Solution

The fourth proportional to 655,110.56, 982,677.96 and 205,823 is: 308,738.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,110.56 : 982,677.96 = 205,823 : x
  2. Step 2: Convert to fraction form
    655,110.56/982,677.96 = 205,823/x
  3. Step 3: Cross multiply
    655,110.56x = 982,677.96 × 205,823
  4. Step 4: Simplify right side
    655,110.56x = 202,257,725,761.08
  5. Step 5: Solve for x
    x = 202,257,725,761.08/655,110.56
  6. Step 6: Final answer
    x = 308,738.31

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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.