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Finding the Fourth Proportional to 282,022.82, 422,823.84 and 169,676.72

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Solution

The fourth proportional to 282,022.82, 422,823.84 and 169,676.72 is: 254,388.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,022.82 : 422,823.84 = 169,676.72 : x
  2. Step 2: Convert to fraction form
    282,022.82/422,823.84 = 169,676.72/x
  3. Step 3: Cross multiply
    282,022.82x = 422,823.84 × 169,676.72
  4. Step 4: Simplify right side
    282,022.82x = 71,743,360,194.89
  5. Step 5: Solve for x
    x = 71,743,360,194.89/282,022.82
  6. Step 6: Final answer
    x = 254,388.49

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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.