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Finding the Fourth Proportional to 362,138.58, 499,774.60 and 200,993.64

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Solution

The fourth proportional to 362,138.58, 499,774.60 and 200,993.64 is: 277,384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,138.58 : 499,774.60 = 200,993.64 : x
  2. Step 2: Convert to fraction form
    362,138.58/499,774.60 = 200,993.64/x
  3. Step 3: Cross multiply
    362,138.58x = 499,774.60 × 200,993.64
  4. Step 4: Simplify right side
    362,138.58x = 100,451,515,028.58
  5. Step 5: Solve for x
    x = 100,451,515,028.58/362,138.58
  6. Step 6: Final answer
    x = 277,384.19

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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.