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Finding the Fourth Proportional to 345,937.78, 477,394.77 and 195,034.42

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Solution

The fourth proportional to 345,937.78, 477,394.77 and 195,034.42 is: 269,147.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,937.78 : 477,394.77 = 195,034.42 : x
  2. Step 2: Convert to fraction form
    345,937.78/477,394.77 = 195,034.42/x
  3. Step 3: Cross multiply
    345,937.78x = 477,394.77 × 195,034.42
  4. Step 4: Simplify right side
    345,937.78x = 93,108,412,077.98
  5. Step 5: Solve for x
    x = 93,108,412,077.98/345,937.78
  6. Step 6: Final answer
    x = 269,147.86

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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.