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Finding the Fourth Proportional to 282,019.93, 422,819.50 and 169,673.82

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Solution

The fourth proportional to 282,019.93, 422,819.50 and 169,673.82 is: 254,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,019.93 : 422,819.50 = 169,673.82 : x
  2. Step 2: Convert to fraction form
    282,019.93/422,819.50 = 169,673.82/x
  3. Step 3: Cross multiply
    282,019.93x = 422,819.50 × 169,673.82
  4. Step 4: Simplify right side
    282,019.93x = 71,741,400,899.44
  5. Step 5: Solve for x
    x = 71,741,400,899.44/282,019.93
  6. Step 6: Final answer
    x = 254,384.15

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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.