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Finding the Fourth Proportional to 354,169.37, 488,739.50 and 193,020.96

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Solution

The fourth proportional to 354,169.37, 488,739.50 and 193,020.96 is: 266,361.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,169.37 : 488,739.50 = 193,020.96 : x
  2. Step 2: Convert to fraction form
    354,169.37/488,739.50 = 193,020.96/x
  3. Step 3: Cross multiply
    354,169.37x = 488,739.50 × 193,020.96
  4. Step 4: Simplify right side
    354,169.37x = 94,336,967,479.92
  5. Step 5: Solve for x
    x = 94,336,967,479.92/354,169.37
  6. Step 6: Final answer
    x = 266,361.17

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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.