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Finding the Fourth Proportional to 290,112.76, 400,384.38 and 194,817.88

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Solution

The fourth proportional to 290,112.76, 400,384.38 and 194,817.88 is: 268,867.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,112.76 : 400,384.38 = 194,817.88 : x
  2. Step 2: Convert to fraction form
    290,112.76/400,384.38 = 194,817.88/x
  3. Step 3: Cross multiply
    290,112.76x = 400,384.38 × 194,817.88
  4. Step 4: Simplify right side
    290,112.76x = 78,002,036,096.71
  5. Step 5: Solve for x
    x = 78,002,036,096.71/290,112.76
  6. Step 6: Final answer
    x = 268,867.99

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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.