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Finding the Fourth Proportional to 420,012.40, 629,945.70 and 153,635.80

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Solution

The fourth proportional to 420,012.40, 629,945.70 and 153,635.80 is: 230,427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,012.40 : 629,945.70 = 153,635.80 : x
  2. Step 2: Convert to fraction form
    420,012.40/629,945.70 = 153,635.80/x
  3. Step 3: Cross multiply
    420,012.40x = 629,945.70 × 153,635.80
  4. Step 4: Simplify right side
    420,012.40x = 96,782,211,576.06
  5. Step 5: Solve for x
    x = 96,782,211,576.06/420,012.40
  6. Step 6: Final answer
    x = 230,427.03

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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.