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Finding the Fourth Proportional to 298,091.60, 447,574.80 and 179,993.60

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Solution

The fourth proportional to 298,091.60, 447,574.80 and 179,993.60 is: 270,254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,091.60 : 447,574.80 = 179,993.60 : x
  2. Step 2: Convert to fraction form
    298,091.60/447,574.80 = 179,993.60/x
  3. Step 3: Cross multiply
    298,091.60x = 447,574.80 × 179,993.60
  4. Step 4: Simplify right side
    298,091.60x = 80,560,599,521.28
  5. Step 5: Solve for x
    x = 80,560,599,521.28/298,091.60
  6. Step 6: Final answer
    x = 270,254.51

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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.