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Finding the Fourth Proportional to 297,871.20, 446,029.20 and 192,117.60

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Solution

The fourth proportional to 297,871.20, 446,029.20 and 192,117.60 is: 287,674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,871.20 : 446,029.20 = 192,117.60 : x
  2. Step 2: Convert to fraction form
    297,871.20/446,029.20 = 192,117.60/x
  3. Step 3: Cross multiply
    297,871.20x = 446,029.20 × 192,117.60
  4. Step 4: Simplify right side
    297,871.20x = 85,690,059,433.92
  5. Step 5: Solve for x
    x = 85,690,059,433.92/297,871.20
  6. Step 6: Final answer
    x = 287,674.87

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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.