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Finding the Fourth Proportional to 645,100.52, 967,109.50 and 285,213.27

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Solution

The fourth proportional to 645,100.52, 967,109.50 and 285,213.27 is: 427,580.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,100.52 : 967,109.50 = 285,213.27 : x
  2. Step 2: Convert to fraction form
    645,100.52/967,109.50 = 285,213.27/x
  3. Step 3: Cross multiply
    645,100.52x = 967,109.50 × 285,213.27
  4. Step 4: Simplify right side
    645,100.52x = 275,832,461,517.00
  5. Step 5: Solve for x
    x = 275,832,461,517.00/645,100.52
  6. Step 6: Final answer
    x = 427,580.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.