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Finding the Fourth Proportional to 320,965.20, 442,956.72 and 177,738.48

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Solution

The fourth proportional to 320,965.20, 442,956.72 and 177,738.48 is: 245,292.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,965.20 : 442,956.72 = 177,738.48 : x
  2. Step 2: Convert to fraction form
    320,965.20/442,956.72 = 177,738.48/x
  3. Step 3: Cross multiply
    320,965.20x = 442,956.72 × 177,738.48
  4. Step 4: Simplify right side
    320,965.20x = 78,730,454,118.59
  5. Step 5: Solve for x
    x = 78,730,454,118.59/320,965.20
  6. Step 6: Final answer
    x = 245,292.80

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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.