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Finding the Fourth Proportional to 490,838.40, 735,350.40 and 279,849.60

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Solution

The fourth proportional to 490,838.40, 735,350.40 and 279,849.60 is: 419,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,838.40 : 735,350.40 = 279,849.60 : x
  2. Step 2: Convert to fraction form
    490,838.40/735,350.40 = 279,849.60/x
  3. Step 3: Cross multiply
    490,838.40x = 735,350.40 × 279,849.60
  4. Step 4: Simplify right side
    490,838.40x = 205,787,515,299.84
  5. Step 5: Solve for x
    x = 205,787,515,299.84/490,838.40
  6. Step 6: Final answer
    x = 419,257.16

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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.