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Finding the Fourth Proportional to 320,858.25, 442,784.48 and 177,618.29

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Solution

The fourth proportional to 320,858.25, 442,784.48 and 177,618.29 is: 245,113.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,858.25 : 442,784.48 = 177,618.29 : x
  2. Step 2: Convert to fraction form
    320,858.25/442,784.48 = 177,618.29/x
  3. Step 3: Cross multiply
    320,858.25x = 442,784.48 × 177,618.29
  4. Step 4: Simplify right side
    320,858.25x = 78,646,622,176.14
  5. Step 5: Solve for x
    x = 78,646,622,176.14/320,858.25
  6. Step 6: Final answer
    x = 245,113.29

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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.