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Finding the Fourth Proportional to 320,638.41, 442,464.78 and 175,441.05

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Solution

The fourth proportional to 320,638.41, 442,464.78 and 175,441.05 is: 242,099.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,638.41 : 442,464.78 = 175,441.05 : x
  2. Step 2: Convert to fraction form
    320,638.41/442,464.78 = 175,441.05/x
  3. Step 3: Cross multiply
    320,638.41x = 442,464.78 × 175,441.05
  4. Step 4: Simplify right side
    320,638.41x = 77,626,485,591.22
  5. Step 5: Solve for x
    x = 77,626,485,591.22/320,638.41
  6. Step 6: Final answer
    x = 242,099.77

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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.