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Finding the Fourth Proportional to 355,739.52, 490,914.09 and 194,593.16

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Solution

The fourth proportional to 355,739.52, 490,914.09 and 194,593.16 is: 268,535.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,739.52 : 490,914.09 = 194,593.16 : x
  2. Step 2: Convert to fraction form
    355,739.52/490,914.09 = 194,593.16/x
  3. Step 3: Cross multiply
    355,739.52x = 490,914.09 × 194,593.16
  4. Step 4: Simplify right side
    355,739.52x = 95,528,524,061.62
  5. Step 5: Solve for x
    x = 95,528,524,061.62/355,739.52
  6. Step 6: Final answer
    x = 268,535.03

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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.