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Finding the Fourth Proportional to 465,104, 697,760 and 169,616

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Solution

The fourth proportional to 465,104, 697,760 and 169,616 is: 254,461.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,104 : 697,760 = 169,616 : x
  2. Step 2: Convert to fraction form
    465,104/697,760 = 169,616/x
  3. Step 3: Cross multiply
    465,104x = 697,760 × 169,616
  4. Step 4: Simplify right side
    465,104x = 118,351,260,160
  5. Step 5: Solve for x
    x = 118,351,260,160/465,104
  6. Step 6: Final answer
    x = 254,461.93

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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.