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Finding the Fourth Proportional to 298,404, 411,797.52 and 164,268

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Solution

The fourth proportional to 298,404, 411,797.52 and 164,268 is: 226,689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,404 : 411,797.52 = 164,268 : x
  2. Step 2: Convert to fraction form
    298,404/411,797.52 = 164,268/x
  3. Step 3: Cross multiply
    298,404x = 411,797.52 × 164,268
  4. Step 4: Simplify right side
    298,404x = 67,645,155,015.36
  5. Step 5: Solve for x
    x = 67,645,155,015.36/298,404
  6. Step 6: Final answer
    x = 226,689.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.