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Finding the Fourth Proportional to 419,675.64, 629,699.34 and 219,948.26

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Solution

The fourth proportional to 419,675.64, 629,699.34 and 219,948.26 is: 330,019.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,675.64 : 629,699.34 = 219,948.26 : x
  2. Step 2: Convert to fraction form
    419,675.64/629,699.34 = 219,948.26/x
  3. Step 3: Cross multiply
    419,675.64x = 629,699.34 × 219,948.26
  4. Step 4: Simplify right side
    419,675.64x = 138,501,274,156.15
  5. Step 5: Solve for x
    x = 138,501,274,156.15/419,675.64
  6. Step 6: Final answer
    x = 330,019.81

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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.