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Finding the Fourth Proportional to 296,309.25, 408,906.77 and 162,173.25

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Solution

The fourth proportional to 296,309.25, 408,906.77 and 162,173.25 is: 223,799.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,309.25 : 408,906.77 = 162,173.25 : x
  2. Step 2: Convert to fraction form
    296,309.25/408,906.77 = 162,173.25/x
  3. Step 3: Cross multiply
    296,309.25x = 408,906.77 × 162,173.25
  4. Step 4: Simplify right side
    296,309.25x = 66,313,739,027.04
  5. Step 5: Solve for x
    x = 66,313,739,027.04/296,309.25
  6. Step 6: Final answer
    x = 223,799.09

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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.