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Finding the Fourth Proportional to 320,422.68, 442,185.58 and 175,229.12

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Solution

The fourth proportional to 320,422.68, 442,185.58 and 175,229.12 is: 241,817.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,422.68 : 442,185.58 = 175,229.12 : x
  2. Step 2: Convert to fraction form
    320,422.68/442,185.58 = 175,229.12/x
  3. Step 3: Cross multiply
    320,422.68x = 442,185.58 × 175,229.12
  4. Step 4: Simplify right side
    320,422.68x = 77,483,790,060.09
  5. Step 5: Solve for x
    x = 77,483,790,060.09/320,422.68
  6. Step 6: Final answer
    x = 241,817.43

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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.