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Finding the Fourth Proportional to 382,142.40, 573,067.80 and 115,814.40

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Solution

The fourth proportional to 382,142.40, 573,067.80 and 115,814.40 is: 173,677.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,142.40 : 573,067.80 = 115,814.40 : x
  2. Step 2: Convert to fraction form
    382,142.40/573,067.80 = 115,814.40/x
  3. Step 3: Cross multiply
    382,142.40x = 573,067.80 × 115,814.40
  4. Step 4: Simplify right side
    382,142.40x = 66,369,503,416.32
  5. Step 5: Solve for x
    x = 66,369,503,416.32/382,142.40
  6. Step 6: Final answer
    x = 173,677.41

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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.