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Finding the Fourth Proportional to 282,022.04, 422,469.06 and 169,640.12

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Solution

The fourth proportional to 282,022.04, 422,469.06 and 169,640.12 is: 254,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,022.04 : 422,469.06 = 169,640.12 : x
  2. Step 2: Convert to fraction form
    282,022.04/422,469.06 = 169,640.12/x
  3. Step 3: Cross multiply
    282,022.04x = 422,469.06 × 169,640.12
  4. Step 4: Simplify right side
    282,022.04x = 71,667,702,034.69
  5. Step 5: Solve for x
    x = 71,667,702,034.69/282,022.04
  6. Step 6: Final answer
    x = 254,120.93

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1.5x scale

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.