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Finding the Fourth Proportional to 300,378.40, 414,522.24 and 187,201.60

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Solution

The fourth proportional to 300,378.40, 414,522.24 and 187,201.60 is: 258,338.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,378.40 : 414,522.24 = 187,201.60 : x
  2. Step 2: Convert to fraction form
    300,378.40/414,522.24 = 187,201.60/x
  3. Step 3: Cross multiply
    300,378.40x = 414,522.24 × 187,201.60
  4. Step 4: Simplify right side
    300,378.40x = 77,599,226,563.58
  5. Step 5: Solve for x
    x = 77,599,226,563.58/300,378.40
  6. Step 6: Final answer
    x = 258,338.24

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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.