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Finding the Fourth Proportional to 297,849.80, 446,774.70 and 171,441.20

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Solution

The fourth proportional to 297,849.80, 446,774.70 and 171,441.20 is: 257,161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,849.80 : 446,774.70 = 171,441.20 : x
  2. Step 2: Convert to fraction form
    297,849.80/446,774.70 = 171,441.20/x
  3. Step 3: Cross multiply
    297,849.80x = 446,774.70 × 171,441.20
  4. Step 4: Simplify right side
    297,849.80x = 76,595,590,697.64
  5. Step 5: Solve for x
    x = 76,595,590,697.64/297,849.80
  6. Step 6: Final answer
    x = 257,161.80

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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.