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Finding the Fourth Proportional to 419,017.14, 628,649.64 and 241,651.44

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Solution

The fourth proportional to 419,017.14, 628,649.64 and 241,651.44 is: 362,548.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,017.14 : 628,649.64 = 241,651.44 : x
  2. Step 2: Convert to fraction form
    419,017.14/628,649.64 = 241,651.44/x
  3. Step 3: Cross multiply
    419,017.14x = 628,649.64 × 241,651.44
  4. Step 4: Simplify right side
    419,017.14x = 151,914,090,761.48
  5. Step 5: Solve for x
    x = 151,914,090,761.48/419,017.14
  6. Step 6: Final answer
    x = 362,548.63

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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.