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Finding the Fourth Proportional to 419,604.58, 629,406.30 and 194,842.11

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Solution

The fourth proportional to 419,604.58, 629,406.30 and 194,842.11 is: 292,262.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,604.58 : 629,406.30 = 194,842.11 : x
  2. Step 2: Convert to fraction form
    419,604.58/629,406.30 = 194,842.11/x
  3. Step 3: Cross multiply
    419,604.58x = 629,406.30 × 194,842.11
  4. Step 4: Simplify right side
    419,604.58x = 122,634,851,539.29
  5. Step 5: Solve for x
    x = 122,634,851,539.29/419,604.58
  6. Step 6: Final answer
    x = 292,262.90

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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.