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Finding the Fourth Proportional to 311,216.46, 466,865.60 and 111,559.56

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Solution

The fourth proportional to 311,216.46, 466,865.60 and 111,559.56 is: 167,354.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,216.46 : 466,865.60 = 111,559.56 : x
  2. Step 2: Convert to fraction form
    311,216.46/466,865.60 = 111,559.56/x
  3. Step 3: Cross multiply
    311,216.46x = 466,865.60 × 111,559.56
  4. Step 4: Simplify right side
    311,216.46x = 52,083,320,357.34
  5. Step 5: Solve for x
    x = 52,083,320,357.34/311,216.46
  6. Step 6: Final answer
    x = 167,354.00

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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.