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Finding the Fourth Proportional to 419,398.62, 629,197.29 and 182,783.58

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Solution

The fourth proportional to 419,398.62, 629,197.29 and 182,783.58 is: 274,218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,398.62 : 629,197.29 = 182,783.58 : x
  2. Step 2: Convert to fraction form
    419,398.62/629,197.29 = 182,783.58/x
  3. Step 3: Cross multiply
    419,398.62x = 629,197.29 × 182,783.58
  4. Step 4: Simplify right side
    419,398.62x = 115,006,933,192.50
  5. Step 5: Solve for x
    x = 115,006,933,192.50/419,398.62
  6. Step 6: Final answer
    x = 274,218.67

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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.