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Finding the Fourth Proportional to 311,570.49, 467,355.74 and 74,913.17

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Solution

The fourth proportional to 311,570.49, 467,355.74 and 74,913.17 is: 112,369.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,570.49 : 467,355.74 = 74,913.17 : x
  2. Step 2: Convert to fraction form
    311,570.49/467,355.74 = 74,913.17/x
  3. Step 3: Cross multiply
    311,570.49x = 467,355.74 × 74,913.17
  4. Step 4: Simplify right side
    311,570.49x = 35,011,097,289.75
  5. Step 5: Solve for x
    x = 35,011,097,289.75/311,570.49
  6. Step 6: Final answer
    x = 112,369.75

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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.