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Finding the Fourth Proportional to 323,809.30, 446,857.29 and 178,611.84

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Solution

The fourth proportional to 323,809.30, 446,857.29 and 178,611.84 is: 246,484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,809.30 : 446,857.29 = 178,611.84 : x
  2. Step 2: Convert to fraction form
    323,809.30/446,857.29 = 178,611.84/x
  3. Step 3: Cross multiply
    323,809.30x = 446,857.29 × 178,611.84
  4. Step 4: Simplify right side
    323,809.30x = 79,814,002,784.31
  5. Step 5: Solve for x
    x = 79,814,002,784.31/323,809.30
  6. Step 6: Final answer
    x = 246,484.59

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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.