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Finding the Fourth Proportional to 462,096.00, 693,222.81 and 206,021.49

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Solution

The fourth proportional to 462,096.00, 693,222.81 and 206,021.49 is: 309,067.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,096.00 : 693,222.81 = 206,021.49 : x
  2. Step 2: Convert to fraction form
    462,096.00/693,222.81 = 206,021.49/x
  3. Step 3: Cross multiply
    462,096.00x = 693,222.81 × 206,021.49
  4. Step 4: Simplify right side
    462,096.00x = 142,818,795,559.17
  5. Step 5: Solve for x
    x = 142,818,795,559.17/462,096.00
  6. Step 6: Final answer
    x = 309,067.37

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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.