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Finding the Fourth Proportional to 295,997.13, 408,467.75 and 161,858.25

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Solution

The fourth proportional to 295,997.13, 408,467.75 and 161,858.25 is: 223,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,997.13 : 408,467.75 = 161,858.25 : x
  2. Step 2: Convert to fraction form
    295,997.13/408,467.75 = 161,858.25/x
  3. Step 3: Cross multiply
    295,997.13x = 408,467.75 × 161,858.25
  4. Step 4: Simplify right side
    295,997.13x = 66,113,874,387.15
  5. Step 5: Solve for x
    x = 66,113,874,387.15/295,997.13
  6. Step 6: Final answer
    x = 223,359.85

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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.