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Finding the Fourth Proportional to 298,632.81, 447,943.70 and 73,993.79

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Solution

The fourth proportional to 298,632.81, 447,943.70 and 73,993.79 is: 110,989.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,632.81 : 447,943.70 = 73,993.79 : x
  2. Step 2: Convert to fraction form
    298,632.81/447,943.70 = 73,993.79/x
  3. Step 3: Cross multiply
    298,632.81x = 447,943.70 × 73,993.79
  4. Step 4: Simplify right side
    298,632.81x = 33,145,049,459.94
  5. Step 5: Solve for x
    x = 33,145,049,459.94/298,632.81
  6. Step 6: Final answer
    x = 110,989.31

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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.