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Finding the Fourth Proportional to 496,033.26, 683,891.91 and 321,295.02

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Solution

The fourth proportional to 496,033.26, 683,891.91 and 321,295.02 is: 442,976.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,033.26 : 683,891.91 = 321,295.02 : x
  2. Step 2: Convert to fraction form
    496,033.26/683,891.91 = 321,295.02/x
  3. Step 3: Cross multiply
    496,033.26x = 683,891.91 × 321,295.02
  4. Step 4: Simplify right side
    496,033.26x = 219,731,064,901.29
  5. Step 5: Solve for x
    x = 219,731,064,901.29/496,033.26
  6. Step 6: Final answer
    x = 442,976.47

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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.