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Finding the Fourth Proportional to 305,972.24, 422,270.21 and 185,143.32

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Solution

The fourth proportional to 305,972.24, 422,270.21 and 185,143.32 is: 255,515.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,972.24 : 422,270.21 = 185,143.32 : x
  2. Step 2: Convert to fraction form
    305,972.24/422,270.21 = 185,143.32/x
  3. Step 3: Cross multiply
    305,972.24x = 422,270.21 × 185,143.32
  4. Step 4: Simplify right side
    305,972.24x = 78,180,509,079.36
  5. Step 5: Solve for x
    x = 78,180,509,079.36/305,972.24
  6. Step 6: Final answer
    x = 255,515.04

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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.