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Finding the Fourth Proportional to 311,431.05, 466,408.46 and 311,431.05

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Solution

The fourth proportional to 311,431.05, 466,408.46 and 311,431.05 is: 466,408.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,431.05 : 466,408.46 = 311,431.05 : x
  2. Step 2: Convert to fraction form
    311,431.05/466,408.46 = 311,431.05/x
  3. Step 3: Cross multiply
    311,431.05x = 466,408.46 × 311,431.05
  4. Step 4: Simplify right side
    311,431.05x = 145,254,077,205.26
  5. Step 5: Solve for x
    x = 145,254,077,205.26/311,431.05
  6. Step 6: Final answer
    x = 466,408.46

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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.