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Finding the Fourth Proportional to 465,114, 697,775 and 169,626

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Solution

The fourth proportional to 465,114, 697,775 and 169,626 is: 254,476.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,114 : 697,775 = 169,626 : x
  2. Step 2: Convert to fraction form
    465,114/697,775 = 169,626/x
  3. Step 3: Cross multiply
    465,114x = 697,775 × 169,626
  4. Step 4: Simplify right side
    465,114x = 118,360,782,150
  5. Step 5: Solve for x
    x = 118,360,782,150/465,114
  6. Step 6: Final answer
    x = 254,476.93

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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.