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Finding the Fourth Proportional to 282,019, 422,998.38 and 79,610.13

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Solution

The fourth proportional to 282,019, 422,998.38 and 79,610.13 is: 119,406.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,019 : 422,998.38 = 79,610.13 : x
  2. Step 2: Convert to fraction form
    282,019/422,998.38 = 79,610.13/x
  3. Step 3: Cross multiply
    282,019x = 422,998.38 × 79,610.13
  4. Step 4: Simplify right side
    282,019x = 33,674,956,021.59
  5. Step 5: Solve for x
    x = 33,674,956,021.59/282,019
  6. Step 6: Final answer
    x = 119,406.69

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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.