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Finding the Fourth Proportional to 323,494.98, 446,417.06 and 180,251.97

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Solution

The fourth proportional to 323,494.98, 446,417.06 and 180,251.97 is: 248,744.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,494.98 : 446,417.06 = 180,251.97 : x
  2. Step 2: Convert to fraction form
    323,494.98/446,417.06 = 180,251.97/x
  3. Step 3: Cross multiply
    323,494.98x = 446,417.06 × 180,251.97
  4. Step 4: Simplify right side
    323,494.98x = 80,467,553,605.35
  5. Step 5: Solve for x
    x = 80,467,553,605.35/323,494.98
  6. Step 6: Final answer
    x = 248,744.37

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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.