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Finding the Fourth Proportional to 298,283.88, 411,631.82 and 164,147.88

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Solution

The fourth proportional to 298,283.88, 411,631.82 and 164,147.88 is: 226,524.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,283.88 : 411,631.82 = 164,147.88 : x
  2. Step 2: Convert to fraction form
    298,283.88/411,631.82 = 164,147.88/x
  3. Step 3: Cross multiply
    298,283.88x = 411,631.82 × 164,147.88
  4. Step 4: Simplify right side
    298,283.88x = 67,568,490,593.54
  5. Step 5: Solve for x
    x = 67,568,490,593.54/298,283.88
  6. Step 6: Final answer
    x = 226,524.11

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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.