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Finding the Fourth Proportional to 297,498.77, 446,335.64 and 119,914.37

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Solution

The fourth proportional to 297,498.77, 446,335.64 and 119,914.37 is: 179,906.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,498.77 : 446,335.64 = 119,914.37 : x
  2. Step 2: Convert to fraction form
    297,498.77/446,335.64 = 119,914.37/x
  3. Step 3: Cross multiply
    297,498.77x = 446,335.64 × 119,914.37
  4. Step 4: Simplify right side
    297,498.77x = 53,522,057,079.15
  5. Step 5: Solve for x
    x = 53,522,057,079.15/297,498.77
  6. Step 6: Final answer
    x = 179,906.82

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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.