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Finding the Fourth Proportional to 490,617.57, 677,071.41 and 275,756.97

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Solution

The fourth proportional to 490,617.57, 677,071.41 and 275,756.97 is: 380,555.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,617.57 : 677,071.41 = 275,756.97 : x
  2. Step 2: Convert to fraction form
    490,617.57/677,071.41 = 275,756.97/x
  3. Step 3: Cross multiply
    490,617.57x = 677,071.41 × 275,756.97
  4. Step 4: Simplify right side
    490,617.57x = 186,707,160,495.23
  5. Step 5: Solve for x
    x = 186,707,160,495.23/490,617.57
  6. Step 6: Final answer
    x = 380,555.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.