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Finding the Fourth Proportional to 295,277, 407,504.16 and 167,993.60

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Solution

The fourth proportional to 295,277, 407,504.16 and 167,993.60 is: 231,843.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,277 : 407,504.16 = 167,993.60 : x
  2. Step 2: Convert to fraction form
    295,277/407,504.16 = 167,993.60/x
  3. Step 3: Cross multiply
    295,277x = 407,504.16 × 167,993.60
  4. Step 4: Simplify right side
    295,277x = 68,458,090,853.38
  5. Step 5: Solve for x
    x = 68,458,090,853.38/295,277
  6. Step 6: Final answer
    x = 231,843.63

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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.