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Finding the Fourth Proportional to 297,839.43, 446,980.64 and 120,347.96

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Solution

The fourth proportional to 297,839.43, 446,980.64 and 120,347.96 is: 180,611.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,839.43 : 446,980.64 = 120,347.96 : x
  2. Step 2: Convert to fraction form
    297,839.43/446,980.64 = 120,347.96/x
  3. Step 3: Cross multiply
    297,839.43x = 446,980.64 × 120,347.96
  4. Step 4: Simplify right side
    297,839.43x = 53,793,205,346.85
  5. Step 5: Solve for x
    x = 53,793,205,346.85/297,839.43
  6. Step 6: Final answer
    x = 180,611.43

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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.