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Finding the Fourth Proportional to 297,881.82, 446,682.30 and 108,208.48

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Solution

The fourth proportional to 297,881.82, 446,682.30 and 108,208.48 is: 162,261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,881.82 : 446,682.30 = 108,208.48 : x
  2. Step 2: Convert to fraction form
    297,881.82/446,682.30 = 108,208.48/x
  3. Step 3: Cross multiply
    297,881.82x = 446,682.30 × 108,208.48
  4. Step 4: Simplify right side
    297,881.82x = 48,334,812,725.90
  5. Step 5: Solve for x
    x = 48,334,812,725.90/297,881.82
  6. Step 6: Final answer
    x = 162,261.71

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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.