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Finding the Fourth Proportional to 654,716.29, 982,115.95 and 205,454.89

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Solution

The fourth proportional to 654,716.29, 982,115.95 and 205,454.89 is: 308,195.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,716.29 : 982,115.95 = 205,454.89 : x
  2. Step 2: Convert to fraction form
    654,716.29/982,115.95 = 205,454.89/x
  3. Step 3: Cross multiply
    654,716.29x = 982,115.95 × 205,454.89
  4. Step 4: Simplify right side
    654,716.29x = 201,780,524,474.50
  5. Step 5: Solve for x
    x = 201,780,524,474.50/654,716.29
  6. Step 6: Final answer
    x = 308,195.36

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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.