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Finding the Fourth Proportional to 323,813.80, 485,720.70 and 311,372.20

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Solution

The fourth proportional to 323,813.80, 485,720.70 and 311,372.20 is: 467,058.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,813.80 : 485,720.70 = 311,372.20 : x
  2. Step 2: Convert to fraction form
    323,813.80/485,720.70 = 311,372.20/x
  3. Step 3: Cross multiply
    323,813.80x = 485,720.70 × 311,372.20
  4. Step 4: Simplify right side
    323,813.80x = 151,239,922,944.54
  5. Step 5: Solve for x
    x = 151,239,922,944.54/323,813.80
  6. Step 6: Final answer
    x = 467,058.30

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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.