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Finding the Fourth Proportional to 419,619.40, 629,615.13 and 219,892.30

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Solution

The fourth proportional to 419,619.40, 629,615.13 and 219,892.30 is: 329,935.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,619.40 : 629,615.13 = 219,892.30 : x
  2. Step 2: Convert to fraction form
    419,619.40/629,615.13 = 219,892.30/x
  3. Step 3: Cross multiply
    419,619.40x = 629,615.13 × 219,892.30
  4. Step 4: Simplify right side
    419,619.40x = 138,447,519,050.50
  5. Step 5: Solve for x
    x = 138,447,519,050.50/419,619.40
  6. Step 6: Final answer
    x = 329,935.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.