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Finding the Fourth Proportional to 286,382.46, 394,943.70 and 194,639.16

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Solution

The fourth proportional to 286,382.46, 394,943.70 and 194,639.16 is: 268,422.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,382.46 : 394,943.70 = 194,639.16 : x
  2. Step 2: Convert to fraction form
    286,382.46/394,943.70 = 194,639.16/x
  3. Step 3: Cross multiply
    286,382.46x = 394,943.70 × 194,639.16
  4. Step 4: Simplify right side
    286,382.46x = 76,871,510,015.29
  5. Step 5: Solve for x
    x = 76,871,510,015.29/286,382.46
  6. Step 6: Final answer
    x = 268,422.55

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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.