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Finding the Fourth Proportional to 491,184.64, 677,835.84 and 289,993.60

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Solution

The fourth proportional to 491,184.64, 677,835.84 and 289,993.60 is: 400,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,184.64 : 677,835.84 = 289,993.60 : x
  2. Step 2: Convert to fraction form
    491,184.64/677,835.84 = 289,993.60/x
  3. Step 3: Cross multiply
    491,184.64x = 677,835.84 × 289,993.60
  4. Step 4: Simplify right side
    491,184.64x = 196,568,055,450.62
  5. Step 5: Solve for x
    x = 196,568,055,450.62/491,184.64
  6. Step 6: Final answer
    x = 400,191.78

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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.