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Finding the Fourth Proportional to 362,013.54, 499,571.04 and 200,865.12

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Solution

The fourth proportional to 362,013.54, 499,571.04 and 200,865.12 is: 277,189.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,013.54 : 499,571.04 = 200,865.12 : x
  2. Step 2: Convert to fraction form
    362,013.54/499,571.04 = 200,865.12/x
  3. Step 3: Cross multiply
    362,013.54x = 499,571.04 × 200,865.12
  4. Step 4: Simplify right side
    362,013.54x = 100,346,396,898.13
  5. Step 5: Solve for x
    x = 100,346,396,898.13/362,013.54
  6. Step 6: Final answer
    x = 277,189.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.