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Finding the Fourth Proportional to 312,832.80, 469,249.20 and 194,734.80

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Solution

The fourth proportional to 312,832.80, 469,249.20 and 194,734.80 is: 292,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,832.80 : 469,249.20 = 194,734.80 : x
  2. Step 2: Convert to fraction form
    312,832.80/469,249.20 = 194,734.80/x
  3. Step 3: Cross multiply
    312,832.80x = 469,249.20 × 194,734.80
  4. Step 4: Simplify right side
    312,832.80x = 91,379,149,112.16
  5. Step 5: Solve for x
    x = 91,379,149,112.16/312,832.80
  6. Step 6: Final answer
    x = 292,102.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.