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Finding the Fourth Proportional to 399,548.53, 599,617.64 and 189,186.13

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Solution

The fourth proportional to 399,548.53, 599,617.64 and 189,186.13 is: 283,918.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,548.53 : 599,617.64 = 189,186.13 : x
  2. Step 2: Convert to fraction form
    399,548.53/599,617.64 = 189,186.13/x
  3. Step 3: Cross multiply
    399,548.53x = 599,617.64 × 189,186.13
  4. Step 4: Simplify right side
    399,548.53x = 113,439,340,791.33
  5. Step 5: Solve for x
    x = 113,439,340,791.33/399,548.53
  6. Step 6: Final answer
    x = 283,918.80

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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.