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Finding the Fourth Proportional to 300,375, 414,518.72 and 166,239

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Solution

The fourth proportional to 300,375, 414,518.72 and 166,239 is: 229,410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,375 : 414,518.72 = 166,239 : x
  2. Step 2: Convert to fraction form
    300,375/414,518.72 = 166,239/x
  3. Step 3: Cross multiply
    300,375x = 414,518.72 × 166,239
  4. Step 4: Simplify right side
    300,375x = 68,909,176,662.89
  5. Step 5: Solve for x
    x = 68,909,176,662.89/300,375
  6. Step 6: Final answer
    x = 229,410.49

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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.