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Finding the Fourth Proportional to 311,314.24, 466,942.17 and 100,954

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Solution

The fourth proportional to 311,314.24, 466,942.17 and 100,954 is: 151,421.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,314.24 : 466,942.17 = 100,954 : x
  2. Step 2: Convert to fraction form
    311,314.24/466,942.17 = 100,954/x
  3. Step 3: Cross multiply
    311,314.24x = 466,942.17 × 100,954
  4. Step 4: Simplify right side
    311,314.24x = 47,139,679,830.18
  5. Step 5: Solve for x
    x = 47,139,679,830.18/311,314.24
  6. Step 6: Final answer
    x = 151,421.53

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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.