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Finding the Fourth Proportional to 355,470.38, 490,550.10 and 194,327.36

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Solution

The fourth proportional to 355,470.38, 490,550.10 and 194,327.36 is: 268,172.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,470.38 : 490,550.10 = 194,327.36 : x
  2. Step 2: Convert to fraction form
    355,470.38/490,550.10 = 194,327.36/x
  3. Step 3: Cross multiply
    355,470.38x = 490,550.10 × 194,327.36
  4. Step 4: Simplify right side
    355,470.38x = 95,327,305,880.74
  5. Step 5: Solve for x
    x = 95,327,305,880.74/355,470.38
  6. Step 6: Final answer
    x = 268,172.29

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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.