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Finding the Fourth Proportional to 299,078.29, 448,486.20 and 111,958.57

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Solution

The fourth proportional to 299,078.29, 448,486.20 and 111,958.57 is: 167,888.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,078.29 : 448,486.20 = 111,958.57 : x
  2. Step 2: Convert to fraction form
    299,078.29/448,486.20 = 111,958.57/x
  3. Step 3: Cross multiply
    299,078.29x = 448,486.20 × 111,958.57
  4. Step 4: Simplify right side
    299,078.29x = 50,211,873,616.73
  5. Step 5: Solve for x
    x = 50,211,873,616.73/299,078.29
  6. Step 6: Final answer
    x = 167,888.73

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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.