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Finding the Fourth Proportional to 217,477.38, 300,231 and 168,970.44

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Solution

The fourth proportional to 217,477.38, 300,231 and 168,970.44 is: 233,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,477.38 : 300,231 = 168,970.44 : x
  2. Step 2: Convert to fraction form
    217,477.38/300,231 = 168,970.44/x
  3. Step 3: Cross multiply
    217,477.38x = 300,231 × 168,970.44
  4. Step 4: Simplify right side
    217,477.38x = 50,730,164,171.64
  5. Step 5: Solve for x
    x = 50,730,164,171.64/217,477.38
  6. Step 6: Final answer
    x = 233,266.39

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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.