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Finding the Fourth Proportional to 300,398.44, 414,533.38 and 171,317.96

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Solution

The fourth proportional to 300,398.44, 414,533.38 and 171,317.96 is: 236,409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,398.44 : 414,533.38 = 171,317.96 : x
  2. Step 2: Convert to fraction form
    300,398.44/414,533.38 = 171,317.96/x
  3. Step 3: Cross multiply
    300,398.44x = 414,533.38 × 171,317.96
  4. Step 4: Simplify right side
    300,398.44x = 71,017,013,013.50
  5. Step 5: Solve for x
    x = 71,017,013,013.50/300,398.44
  6. Step 6: Final answer
    x = 236,409.39

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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.