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Finding the Fourth Proportional to 297,402.54, 446,546.79 and 120,255.54

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Solution

The fourth proportional to 297,402.54, 446,546.79 and 120,255.54 is: 180,562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,402.54 : 446,546.79 = 120,255.54 : x
  2. Step 2: Convert to fraction form
    297,402.54/446,546.79 = 120,255.54/x
  3. Step 3: Cross multiply
    297,402.54x = 446,546.79 × 120,255.54
  4. Step 4: Simplify right side
    297,402.54x = 53,699,725,366.72
  5. Step 5: Solve for x
    x = 53,699,725,366.72/297,402.54
  6. Step 6: Final answer
    x = 180,562.43

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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.