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Finding the Fourth Proportional to 382,448.40, 573,648.30 and 129,728.40

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Solution

The fourth proportional to 382,448.40, 573,648.30 and 129,728.40 is: 194,584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,448.40 : 573,648.30 = 129,728.40 : x
  2. Step 2: Convert to fraction form
    382,448.40/573,648.30 = 129,728.40/x
  3. Step 3: Cross multiply
    382,448.40x = 573,648.30 × 129,728.40
  4. Step 4: Simplify right side
    382,448.40x = 74,418,476,121.72
  5. Step 5: Solve for x
    x = 74,418,476,121.72/382,448.40
  6. Step 6: Final answer
    x = 194,584.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.