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Finding the Fourth Proportional to 655,093.54, 982,652.46 and 205,805.98

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Solution

The fourth proportional to 655,093.54, 982,652.46 and 205,805.98 is: 308,712.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,093.54 : 982,652.46 = 205,805.98 : x
  2. Step 2: Convert to fraction form
    655,093.54/982,652.46 = 205,805.98/x
  3. Step 3: Cross multiply
    655,093.54x = 982,652.46 × 205,805.98
  4. Step 4: Simplify right side
    655,093.54x = 202,235,752,529.71
  5. Step 5: Solve for x
    x = 202,235,752,529.71/655,093.54
  6. Step 6: Final answer
    x = 308,712.79

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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.