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Finding the Fourth Proportional to 298,286.82, 411,635.87 and 164,150.82

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Solution

The fourth proportional to 298,286.82, 411,635.87 and 164,150.82 is: 226,528.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,286.82 : 411,635.87 = 164,150.82 : x
  2. Step 2: Convert to fraction form
    298,286.82/411,635.87 = 164,150.82/x
  3. Step 3: Cross multiply
    298,286.82x = 411,635.87 × 164,150.82
  4. Step 4: Simplify right side
    298,286.82x = 67,570,364,781.16
  5. Step 5: Solve for x
    x = 67,570,364,781.16/298,286.82
  6. Step 6: Final answer
    x = 226,528.16

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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.