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Finding the Fourth Proportional to 465,936.60, 699,002.10 and 266,093.40

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Solution

The fourth proportional to 465,936.60, 699,002.10 and 266,093.40 is: 399,195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,936.60 : 699,002.10 = 266,093.40 : x
  2. Step 2: Convert to fraction form
    465,936.60/699,002.10 = 266,093.40/x
  3. Step 3: Cross multiply
    465,936.60x = 699,002.10 × 266,093.40
  4. Step 4: Simplify right side
    465,936.60x = 185,999,845,396.14
  5. Step 5: Solve for x
    x = 185,999,845,396.14/465,936.60
  6. Step 6: Final answer
    x = 399,195.61

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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.