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Finding the Fourth Proportional to 567,984.41, 783,817.43 and 309,861.38

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Solution

The fourth proportional to 567,984.41, 783,817.43 and 309,861.38 is: 427,608.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,984.41 : 783,817.43 = 309,861.38 : x
  2. Step 2: Convert to fraction form
    567,984.41/783,817.43 = 309,861.38/x
  3. Step 3: Cross multiply
    567,984.41x = 783,817.43 × 309,861.38
  4. Step 4: Simplify right side
    567,984.41x = 242,874,745,059.46
  5. Step 5: Solve for x
    x = 242,874,745,059.46/567,984.41
  6. Step 6: Final answer
    x = 427,608.12

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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.