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Finding the Fourth Proportional to 297,701.44, 446,566.74 and 120,186.30

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Solution

The fourth proportional to 297,701.44, 446,566.74 and 120,186.30 is: 180,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,701.44 : 446,566.74 = 120,186.30 : x
  2. Step 2: Convert to fraction form
    297,701.44/446,566.74 = 120,186.30/x
  3. Step 3: Cross multiply
    297,701.44x = 446,566.74 × 120,186.30
  4. Step 4: Simplify right side
    297,701.44x = 53,671,204,183.66
  5. Step 5: Solve for x
    x = 53,671,204,183.66/297,701.44
  6. Step 6: Final answer
    x = 180,285.34

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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.