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Finding the Fourth Proportional to 298,416.44, 447,629.32 and 166,137.42

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Solution

The fourth proportional to 298,416.44, 447,629.32 and 166,137.42 is: 249,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,416.44 : 447,629.32 = 166,137.42 : x
  2. Step 2: Convert to fraction form
    298,416.44/447,629.32 = 166,137.42/x
  3. Step 3: Cross multiply
    298,416.44x = 447,629.32 × 166,137.42
  4. Step 4: Simplify right side
    298,416.44x = 74,367,980,341.15
  5. Step 5: Solve for x
    x = 74,367,980,341.15/298,416.44
  6. Step 6: Final answer
    x = 249,208.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.