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Finding the Fourth Proportional to 311,403.42, 467,105.40 and 222,829.92

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Solution

The fourth proportional to 311,403.42, 467,105.40 and 222,829.92 is: 334,245.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,403.42 : 467,105.40 = 222,829.92 : x
  2. Step 2: Convert to fraction form
    311,403.42/467,105.40 = 222,829.92/x
  3. Step 3: Cross multiply
    311,403.42x = 467,105.40 × 222,829.92
  4. Step 4: Simplify right side
    311,403.42x = 104,085,058,913.57
  5. Step 5: Solve for x
    x = 104,085,058,913.57/311,403.42
  6. Step 6: Final answer
    x = 334,245.07

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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.