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Finding the Fourth Proportional to 465,974.62, 699,108.64 and 166,448.57

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Solution

The fourth proportional to 465,974.62, 699,108.64 and 166,448.57 is: 249,725.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,974.62 : 699,108.64 = 166,448.57 : x
  2. Step 2: Convert to fraction form
    465,974.62/699,108.64 = 166,448.57/x
  3. Step 3: Cross multiply
    465,974.62x = 699,108.64 × 166,448.57
  4. Step 4: Simplify right side
    465,974.62x = 116,365,629,490.98
  5. Step 5: Solve for x
    x = 116,365,629,490.98/465,974.62
  6. Step 6: Final answer
    x = 249,725.25

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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.