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Finding the Fourth Proportional to 330,898.80, 496,348.20 and 294,157.20

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Solution

The fourth proportional to 330,898.80, 496,348.20 and 294,157.20 is: 441,235.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,898.80 : 496,348.20 = 294,157.20 : x
  2. Step 2: Convert to fraction form
    330,898.80/496,348.20 = 294,157.20/x
  3. Step 3: Cross multiply
    330,898.80x = 496,348.20 × 294,157.20
  4. Step 4: Simplify right side
    330,898.80x = 146,004,396,737.04
  5. Step 5: Solve for x
    x = 146,004,396,737.04/330,898.80
  6. Step 6: Final answer
    x = 441,235.80

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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.