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Finding the Fourth Proportional to 324,693.78, 487,086.42 and 100,072.38

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Solution

The fourth proportional to 324,693.78, 487,086.42 and 100,072.38 is: 150,122.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,693.78 : 487,086.42 = 100,072.38 : x
  2. Step 2: Convert to fraction form
    324,693.78/487,086.42 = 100,072.38/x
  3. Step 3: Cross multiply
    324,693.78x = 487,086.42 × 100,072.38
  4. Step 4: Simplify right side
    324,693.78x = 48,743,897,315.08
  5. Step 5: Solve for x
    x = 48,743,897,315.08/324,693.78
  6. Step 6: Final answer
    x = 150,122.67

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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.