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Finding the Fourth Proportional to 282,022.35, 422,823.13 and 169,676.24

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Solution

The fourth proportional to 282,022.35, 422,823.13 and 169,676.24 is: 254,387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,022.35 : 422,823.13 = 169,676.24 : x
  2. Step 2: Convert to fraction form
    282,022.35/422,823.13 = 169,676.24/x
  3. Step 3: Cross multiply
    282,022.35x = 422,823.13 × 169,676.24
  4. Step 4: Simplify right side
    282,022.35x = 71,743,038,883.43
  5. Step 5: Solve for x
    x = 71,743,038,883.43/282,022.35
  6. Step 6: Final answer
    x = 254,387.78

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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.