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Finding the Fourth Proportional to 350,321.14, 525,462.27 and 311,324.50

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Solution

The fourth proportional to 350,321.14, 525,462.27 and 311,324.50 is: 466,969.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,321.14 : 525,462.27 = 311,324.50 : x
  2. Step 2: Convert to fraction form
    350,321.14/525,462.27 = 311,324.50/x
  3. Step 3: Cross multiply
    350,321.14x = 525,462.27 × 311,324.50
  4. Step 4: Simplify right side
    350,321.14x = 163,589,278,476.62
  5. Step 5: Solve for x
    x = 163,589,278,476.62/350,321.14
  6. Step 6: Final answer
    x = 466,969.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.