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Finding the Fourth Proportional to 416,164.92, 574,305.96 and 225,178.44

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Solution

The fourth proportional to 416,164.92, 574,305.96 and 225,178.44 is: 310,745.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,164.92 : 574,305.96 = 225,178.44 : x
  2. Step 2: Convert to fraction form
    416,164.92/574,305.96 = 225,178.44/x
  3. Step 3: Cross multiply
    416,164.92x = 574,305.96 × 225,178.44
  4. Step 4: Simplify right side
    416,164.92x = 129,321,320,155.50
  5. Step 5: Solve for x
    x = 129,321,320,155.50/416,164.92
  6. Step 6: Final answer
    x = 310,745.37

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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.