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Finding the Fourth Proportional to 490,840.40, 735,353.40 and 279,851.60

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Solution

The fourth proportional to 490,840.40, 735,353.40 and 279,851.60 is: 419,260.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,840.40 : 735,353.40 = 279,851.60 : x
  2. Step 2: Convert to fraction form
    490,840.40/735,353.40 = 279,851.60/x
  3. Step 3: Cross multiply
    490,840.40x = 735,353.40 × 279,851.60
  4. Step 4: Simplify right side
    490,840.40x = 205,789,825,555.44
  5. Step 5: Solve for x
    x = 205,789,825,555.44/490,840.40
  6. Step 6: Final answer
    x = 419,260.16

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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.