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Finding the Fourth Proportional to 299,918.36, 413,887.74 and 172,591.40

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Solution

The fourth proportional to 299,918.36, 413,887.74 and 172,591.40 is: 238,176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,918.36 : 413,887.74 = 172,591.40 : x
  2. Step 2: Convert to fraction form
    299,918.36/413,887.74 = 172,591.40/x
  3. Step 3: Cross multiply
    299,918.36x = 413,887.74 × 172,591.40
  4. Step 4: Simplify right side
    299,918.36x = 71,433,464,489.44
  5. Step 5: Solve for x
    x = 71,433,464,489.44/299,918.36
  6. Step 6: Final answer
    x = 238,176.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.