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Finding the Fourth Proportional to 298,757.64, 412,305.92 and 182,520.84

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Solution

The fourth proportional to 298,757.64, 412,305.92 and 182,520.84 is: 251,891.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,757.64 : 412,305.92 = 182,520.84 : x
  2. Step 2: Convert to fraction form
    298,757.64/412,305.92 = 182,520.84/x
  3. Step 3: Cross multiply
    298,757.64x = 412,305.92 × 182,520.84
  4. Step 4: Simplify right side
    298,757.64x = 75,254,422,855.37
  5. Step 5: Solve for x
    x = 75,254,422,855.37/298,757.64
  6. Step 6: Final answer
    x = 251,891.21

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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.