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Finding the Fourth Proportional to 394,534.80, 544,388.04 and 233,396.64

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Solution

The fourth proportional to 394,534.80, 544,388.04 and 233,396.64 is: 322,045.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,534.80 : 544,388.04 = 233,396.64 : x
  2. Step 2: Convert to fraction form
    394,534.80/544,388.04 = 233,396.64/x
  3. Step 3: Cross multiply
    394,534.80x = 544,388.04 × 233,396.64
  4. Step 4: Simplify right side
    394,534.80x = 127,058,339,392.19
  5. Step 5: Solve for x
    x = 127,058,339,392.19/394,534.80
  6. Step 6: Final answer
    x = 322,045.96

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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.