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Finding the Fourth Proportional to 320,965.59, 442,927.10 and 177,722.56

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Solution

The fourth proportional to 320,965.59, 442,927.10 and 177,722.56 is: 245,254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,965.59 : 442,927.10 = 177,722.56 : x
  2. Step 2: Convert to fraction form
    320,965.59/442,927.10 = 177,722.56/x
  3. Step 3: Cross multiply
    320,965.59x = 442,927.10 × 177,722.56
  4. Step 4: Simplify right side
    320,965.59x = 78,718,136,611.88
  5. Step 5: Solve for x
    x = 78,718,136,611.88/320,965.59
  6. Step 6: Final answer
    x = 245,254.13

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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.