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Finding the Fourth Proportional to 382,189.44, 573,514.56 and 133,046.40

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Solution

The fourth proportional to 382,189.44, 573,514.56 and 133,046.40 is: 199,649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,189.44 : 573,514.56 = 133,046.40 : x
  2. Step 2: Convert to fraction form
    382,189.44/573,514.56 = 133,046.40/x
  3. Step 3: Cross multiply
    382,189.44x = 573,514.56 × 133,046.40
  4. Step 4: Simplify right side
    382,189.44x = 76,304,047,555.58
  5. Step 5: Solve for x
    x = 76,304,047,555.58/382,189.44
  6. Step 6: Final answer
    x = 199,649.81

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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.