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Finding the Fourth Proportional to 355,842.55, 491,062.39 and 194,698.27

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Solution

The fourth proportional to 355,842.55, 491,062.39 and 194,698.27 is: 268,683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,842.55 : 491,062.39 = 194,698.27 : x
  2. Step 2: Convert to fraction form
    355,842.55/491,062.39 = 194,698.27/x
  3. Step 3: Cross multiply
    355,842.55x = 491,062.39 × 194,698.27
  4. Step 4: Simplify right side
    355,842.55x = 95,608,997,795.07
  5. Step 5: Solve for x
    x = 95,608,997,795.07/355,842.55
  6. Step 6: Final answer
    x = 268,683.43

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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.