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Finding the Fourth Proportional to 298,227, 411,561.90 and 164,091

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Solution

The fourth proportional to 298,227, 411,561.90 and 164,091 is: 226,450.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,227 : 411,561.90 = 164,091 : x
  2. Step 2: Convert to fraction form
    298,227/411,561.90 = 164,091/x
  3. Step 3: Cross multiply
    298,227x = 411,561.90 × 164,091
  4. Step 4: Simplify right side
    298,227x = 67,533,603,732.90
  5. Step 5: Solve for x
    x = 67,533,603,732.90/298,227
  6. Step 6: Final answer
    x = 226,450.33

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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.