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Finding the Fourth Proportional to 311,773.44, 467,701.44 and 101,340

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Solution

The fourth proportional to 311,773.44, 467,701.44 and 101,340 is: 152,023.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,773.44 : 467,701.44 = 101,340 : x
  2. Step 2: Convert to fraction form
    311,773.44/467,701.44 = 101,340/x
  3. Step 3: Cross multiply
    311,773.44x = 467,701.44 × 101,340
  4. Step 4: Simplify right side
    311,773.44x = 47,396,863,929.60
  5. Step 5: Solve for x
    x = 47,396,863,929.60/311,773.44
  6. Step 6: Final answer
    x = 152,023.42

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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.