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Finding the Fourth Proportional to 306,268.44, 422,684.12 and 175,458.52

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Solution

The fourth proportional to 306,268.44, 422,684.12 and 175,458.52 is: 242,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,268.44 : 422,684.12 = 175,458.52 : x
  2. Step 2: Convert to fraction form
    306,268.44/422,684.12 = 175,458.52/x
  3. Step 3: Cross multiply
    306,268.44x = 422,684.12 × 175,458.52
  4. Step 4: Simplify right side
    306,268.44x = 74,163,530,122.70
  5. Step 5: Solve for x
    x = 74,163,530,122.70/306,268.44
  6. Step 6: Final answer
    x = 242,152.05

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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.