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Finding the Fourth Proportional to 320,914.68, 442,865.74 and 177,677.08

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Solution

The fourth proportional to 320,914.68, 442,865.74 and 177,677.08 is: 245,196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,914.68 : 442,865.74 = 177,677.08 : x
  2. Step 2: Convert to fraction form
    320,914.68/442,865.74 = 177,677.08/x
  3. Step 3: Cross multiply
    320,914.68x = 442,865.74 × 177,677.08
  4. Step 4: Simplify right side
    320,914.68x = 78,687,091,515.24
  5. Step 5: Solve for x
    x = 78,687,091,515.24/320,914.68
  6. Step 6: Final answer
    x = 245,196.30

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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.