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Finding the Fourth Proportional to 323,359.46, 446,236.86 and 194,300.09

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Solution

The fourth proportional to 323,359.46, 446,236.86 and 194,300.09 is: 268,134.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,359.46 : 446,236.86 = 194,300.09 : x
  2. Step 2: Convert to fraction form
    323,359.46/446,236.86 = 194,300.09/x
  3. Step 3: Cross multiply
    323,359.46x = 446,236.86 × 194,300.09
  4. Step 4: Simplify right side
    323,359.46x = 86,703,861,699.32
  5. Step 5: Solve for x
    x = 86,703,861,699.32/323,359.46
  6. Step 6: Final answer
    x = 268,134.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.