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Finding the Fourth Proportional to 304,203.30, 419,856.72 and 195,443.60

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Solution

The fourth proportional to 304,203.30, 419,856.72 and 195,443.60 is: 269,748.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,203.30 : 419,856.72 = 195,443.60 : x
  2. Step 2: Convert to fraction form
    304,203.30/419,856.72 = 195,443.60/x
  3. Step 3: Cross multiply
    304,203.30x = 419,856.72 × 195,443.60
  4. Step 4: Simplify right side
    304,203.30x = 82,058,306,820.63
  5. Step 5: Solve for x
    x = 82,058,306,820.63/304,203.30
  6. Step 6: Final answer
    x = 269,748.24

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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.