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Finding the Fourth Proportional to 323,642.98, 446,620.93 and 180,394.48

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Solution

The fourth proportional to 323,642.98, 446,620.93 and 180,394.48 is: 248,940.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,642.98 : 446,620.93 = 180,394.48 : x
  2. Step 2: Convert to fraction form
    323,642.98/446,620.93 = 180,394.48/x
  3. Step 3: Cross multiply
    323,642.98x = 446,620.93 × 180,394.48
  4. Step 4: Simplify right side
    323,642.98x = 80,567,950,424.47
  5. Step 5: Solve for x
    x = 80,567,950,424.47/323,642.98
  6. Step 6: Final answer
    x = 248,940.82

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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.