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Finding the Fourth Proportional to 490,463.40, 735,306.30 and 268,847.40

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Solution

The fourth proportional to 490,463.40, 735,306.30 and 268,847.40 is: 403,057.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,463.40 : 735,306.30 = 268,847.40 : x
  2. Step 2: Convert to fraction form
    490,463.40/735,306.30 = 268,847.40/x
  3. Step 3: Cross multiply
    490,463.40x = 735,306.30 × 268,847.40
  4. Step 4: Simplify right side
    490,463.40x = 197,685,186,958.62
  5. Step 5: Solve for x
    x = 197,685,186,958.62/490,463.40
  6. Step 6: Final answer
    x = 403,057.98

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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.