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Finding the Fourth Proportional to 323,105.95, 484,833.90 and 311,325.31

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Solution

The fourth proportional to 323,105.95, 484,833.90 and 311,325.31 is: 467,156.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,105.95 : 484,833.90 = 311,325.31 : x
  2. Step 2: Convert to fraction form
    323,105.95/484,833.90 = 311,325.31/x
  3. Step 3: Cross multiply
    323,105.95x = 484,833.90 × 311,325.31
  4. Step 4: Simplify right side
    323,105.95x = 150,941,061,791.84
  5. Step 5: Solve for x
    x = 150,941,061,791.84/323,105.95
  6. Step 6: Final answer
    x = 467,156.56

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1.5x scale

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.