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Finding the Fourth Proportional to 297,769.96, 446,681.40 and 84,540.97

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Solution

The fourth proportional to 297,769.96, 446,681.40 and 84,540.97 is: 126,818.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,769.96 : 446,681.40 = 84,540.97 : x
  2. Step 2: Convert to fraction form
    297,769.96/446,681.40 = 84,540.97/x
  3. Step 3: Cross multiply
    297,769.96x = 446,681.40 × 84,540.97
  4. Step 4: Simplify right side
    297,769.96x = 37,762,878,836.96
  5. Step 5: Solve for x
    x = 37,762,878,836.96/297,769.96
  6. Step 6: Final answer
    x = 126,818.97

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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.