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Finding the Fourth Proportional to 382,020.81, 527,191.84 and 238,863.84

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Solution

The fourth proportional to 382,020.81, 527,191.84 and 238,863.84 is: 329,634.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,020.81 : 527,191.84 = 238,863.84 : x
  2. Step 2: Convert to fraction form
    382,020.81/527,191.84 = 238,863.84/x
  3. Step 3: Cross multiply
    382,020.81x = 527,191.84 × 238,863.84
  4. Step 4: Simplify right side
    382,020.81x = 125,927,067,319.07
  5. Step 5: Solve for x
    x = 125,927,067,319.07/382,020.81
  6. Step 6: Final answer
    x = 329,634.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.