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Finding the Fourth Proportional to 395,770.20, 594,044.10 and 196,315.80

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Solution

The fourth proportional to 395,770.20, 594,044.10 and 196,315.80 is: 294,666.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,770.20 : 594,044.10 = 196,315.80 : x
  2. Step 2: Convert to fraction form
    395,770.20/594,044.10 = 196,315.80/x
  3. Step 3: Cross multiply
    395,770.20x = 594,044.10 × 196,315.80
  4. Step 4: Simplify right side
    395,770.20x = 116,620,242,726.78
  5. Step 5: Solve for x
    x = 116,620,242,726.78/395,770.20
  6. Step 6: Final answer
    x = 294,666.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.