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Finding the Fourth Proportional to 359,049.34, 538,116 and 190,650.34

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Solution

The fourth proportional to 359,049.34, 538,116 and 190,650.34 is: 285,732.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,049.34 : 538,116 = 190,650.34 : x
  2. Step 2: Convert to fraction form
    359,049.34/538,116 = 190,650.34/x
  3. Step 3: Cross multiply
    359,049.34x = 538,116 × 190,650.34
  4. Step 4: Simplify right side
    359,049.34x = 102,591,998,359.44
  5. Step 5: Solve for x
    x = 102,591,998,359.44/359,049.34
  6. Step 6: Final answer
    x = 285,732.31

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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.