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Finding the Fourth Proportional to 311,353, 429,667.62 and 177,217

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Solution

The fourth proportional to 311,353, 429,667.62 and 177,217 is: 244,559.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,353 : 429,667.62 = 177,217 : x
  2. Step 2: Convert to fraction form
    311,353/429,667.62 = 177,217/x
  3. Step 3: Cross multiply
    311,353x = 429,667.62 × 177,217
  4. Step 4: Simplify right side
    311,353x = 76,144,406,613.54
  5. Step 5: Solve for x
    x = 76,144,406,613.54/311,353
  6. Step 6: Final answer
    x = 244,559.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.