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Finding the Fourth Proportional to 297,786.92, 446,697.41 and 84,538.16

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Solution

The fourth proportional to 297,786.92, 446,697.41 and 84,538.16 is: 126,812.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,786.92 : 446,697.41 = 84,538.16 : x
  2. Step 2: Convert to fraction form
    297,786.92/446,697.41 = 84,538.16/x
  3. Step 3: Cross multiply
    297,786.92x = 446,697.41 × 84,538.16
  4. Step 4: Simplify right side
    297,786.92x = 37,762,975,096.02
  5. Step 5: Solve for x
    x = 37,762,975,096.02/297,786.92
  6. Step 6: Final answer
    x = 126,812.07

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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.