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Finding the Fourth Proportional to 263,682, 395,522.10 and 64,002.24

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Solution

The fourth proportional to 263,682, 395,522.10 and 64,002.24 is: 96,003.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,682 : 395,522.10 = 64,002.24 : x
  2. Step 2: Convert to fraction form
    263,682/395,522.10 = 64,002.24/x
  3. Step 3: Cross multiply
    263,682x = 395,522.10 × 64,002.24
  4. Step 4: Simplify right side
    263,682x = 25,314,300,369.50
  5. Step 5: Solve for x
    x = 25,314,300,369.50/263,682
  6. Step 6: Final answer
    x = 96,003.14

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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.