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Finding the Fourth Proportional to 352,923, 487,033.74 and 193,947

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Solution

The fourth proportional to 352,923, 487,033.74 and 193,947 is: 267,646.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,923 : 487,033.74 = 193,947 : x
  2. Step 2: Convert to fraction form
    352,923/487,033.74 = 193,947/x
  3. Step 3: Cross multiply
    352,923x = 487,033.74 × 193,947
  4. Step 4: Simplify right side
    352,923x = 94,458,732,771.78
  5. Step 5: Solve for x
    x = 94,458,732,771.78/352,923
  6. Step 6: Final answer
    x = 267,646.86

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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.