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Finding the Fourth Proportional to 298,286.52, 411,636.20 and 164,150.52

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Solution

The fourth proportional to 298,286.52, 411,636.20 and 164,150.52 is: 226,528.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,286.52 : 411,636.20 = 164,150.52 : x
  2. Step 2: Convert to fraction form
    298,286.52/411,636.20 = 164,150.52/x
  3. Step 3: Cross multiply
    298,286.52x = 411,636.20 × 164,150.52
  4. Step 4: Simplify right side
    298,286.52x = 67,570,296,280.82
  5. Step 5: Solve for x
    x = 67,570,296,280.82/298,286.52
  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.