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Finding the Fourth Proportional to 299,967.57, 414,059.49 and 172,693.89

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Solution

The fourth proportional to 299,967.57, 414,059.49 and 172,693.89 is: 238,377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,967.57 : 414,059.49 = 172,693.89 : x
  2. Step 2: Convert to fraction form
    299,967.57/414,059.49 = 172,693.89/x
  3. Step 3: Cross multiply
    299,967.57x = 414,059.49 × 172,693.89
  4. Step 4: Simplify right side
    299,967.57x = 71,505,544,019.52
  5. Step 5: Solve for x
    x = 71,505,544,019.52/299,967.57
  6. Step 6: Final answer
    x = 238,377.58

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Why These Related Problems?

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