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Finding the Fourth Proportional to 298,632.31, 447,942.94 and 73,993.29

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Solution

The fourth proportional to 298,632.31, 447,942.94 and 73,993.29 is: 110,988.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,632.31 : 447,942.94 = 73,993.29 : x
  2. Step 2: Convert to fraction form
    298,632.31/447,942.94 = 73,993.29/x
  3. Step 3: Cross multiply
    298,632.31x = 447,942.94 × 73,993.29
  4. Step 4: Simplify right side
    298,632.31x = 33,144,771,862.87
  5. Step 5: Solve for x
    x = 33,144,771,862.87/298,632.31
  6. Step 6: Final answer
    x = 110,988.57

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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.