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Finding the Fourth Proportional to 298,442.75, 411,851.13 and 164,306.75

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Solution

The fourth proportional to 298,442.75, 411,851.13 and 164,306.75 is: 226,743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,442.75 : 411,851.13 = 164,306.75 : x
  2. Step 2: Convert to fraction form
    298,442.75/411,851.13 = 164,306.75/x
  3. Step 3: Cross multiply
    298,442.75x = 411,851.13 × 164,306.75
  4. Step 4: Simplify right side
    298,442.75x = 67,669,920,654.13
  5. Step 5: Solve for x
    x = 67,669,920,654.13/298,442.75
  6. Step 6: Final answer
    x = 226,743.39

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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.