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Finding the Fourth Proportional to 465,105, 697,761.50 and 169,617

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Solution

The fourth proportional to 465,105, 697,761.50 and 169,617 is: 254,463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,105 : 697,761.50 = 169,617 : x
  2. Step 2: Convert to fraction form
    465,105/697,761.50 = 169,617/x
  3. Step 3: Cross multiply
    465,105x = 697,761.50 × 169,617
  4. Step 4: Simplify right side
    465,105x = 118,352,212,345.50
  5. Step 5: Solve for x
    x = 118,352,212,345.50/465,105
  6. Step 6: Final answer
    x = 254,463.43

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Why These Related Problems?

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