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Finding the Fourth Proportional to 320,965.70, 442,957.41 and 177,738.98

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Solution

The fourth proportional to 320,965.70, 442,957.41 and 177,738.98 is: 245,293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,965.70 : 442,957.41 = 177,738.98 : x
  2. Step 2: Convert to fraction form
    320,965.70/442,957.41 = 177,738.98/x
  3. Step 3: Cross multiply
    320,965.70x = 442,957.41 × 177,738.98
  4. Step 4: Simplify right side
    320,965.70x = 78,730,798,236.84
  5. Step 5: Solve for x
    x = 78,730,798,236.84/320,965.70
  6. Step 6: Final answer
    x = 245,293.49

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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.