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Finding the Fourth Proportional to 297,401.72, 446,119.88 and 84,151.76

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Solution

The fourth proportional to 297,401.72, 446,119.88 and 84,151.76 is: 126,232.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,401.72 : 446,119.88 = 84,151.76 : x
  2. Step 2: Convert to fraction form
    297,401.72/446,119.88 = 84,151.76/x
  3. Step 3: Cross multiply
    297,401.72x = 446,119.88 × 84,151.76
  4. Step 4: Simplify right side
    297,401.72x = 37,541,773,072.99
  5. Step 5: Solve for x
    x = 37,541,773,072.99/297,401.72
  6. Step 6: Final answer
    x = 126,232.54

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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.