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Finding the Fourth Proportional to 419,466.60, 629,418.60 and 182,833.20

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Solution

The fourth proportional to 419,466.60, 629,418.60 and 182,833.20 is: 274,345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,466.60 : 629,418.60 = 182,833.20 : x
  2. Step 2: Convert to fraction form
    419,466.60/629,418.60 = 182,833.20/x
  3. Step 3: Cross multiply
    419,466.60x = 629,418.60 × 182,833.20
  4. Step 4: Simplify right side
    419,466.60x = 115,078,616,777.52
  5. Step 5: Solve for x
    x = 115,078,616,777.52/419,466.60
  6. Step 6: Final answer
    x = 274,345.12

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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.