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Finding the Fourth Proportional to 490,796.52, 677,295.18 and 309,625.44

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Solution

The fourth proportional to 490,796.52, 677,295.18 and 309,625.44 is: 427,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,796.52 : 677,295.18 = 309,625.44 : x
  2. Step 2: Convert to fraction form
    490,796.52/677,295.18 = 309,625.44/x
  3. Step 3: Cross multiply
    490,796.52x = 677,295.18 × 309,625.44
  4. Step 4: Simplify right side
    490,796.52x = 209,707,818,117.38
  5. Step 5: Solve for x
    x = 209,707,818,117.38/490,796.52
  6. Step 6: Final answer
    x = 427,280.57

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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.