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Finding the Fourth Proportional to 355,684.26, 490,837.38 and 194,538.84

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Solution

The fourth proportional to 355,684.26, 490,837.38 and 194,538.84 is: 268,459.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,684.26 : 490,837.38 = 194,538.84 : x
  2. Step 2: Convert to fraction form
    355,684.26/490,837.38 = 194,538.84/x
  3. Step 3: Cross multiply
    355,684.26x = 490,837.38 × 194,538.84
  4. Step 4: Simplify right side
    355,684.26x = 95,486,934,533.84
  5. Step 5: Solve for x
    x = 95,486,934,533.84/355,684.26
  6. Step 6: Final answer
    x = 268,459.83

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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.