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Finding the Fourth Proportional to 297,396.70, 446,112.39 and 84,146.77

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Solution

The fourth proportional to 297,396.70, 446,112.39 and 84,146.77 is: 126,225.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,396.70 : 446,112.39 = 84,146.77 : x
  2. Step 2: Convert to fraction form
    297,396.70/446,112.39 = 84,146.77/x
  3. Step 3: Cross multiply
    297,396.70x = 446,112.39 × 84,146.77
  4. Step 4: Simplify right side
    297,396.70x = 37,538,916,675.48
  5. Step 5: Solve for x
    x = 37,538,916,675.48/297,396.70
  6. Step 6: Final answer
    x = 126,225.06

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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.