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Finding the Fourth Proportional to 320,209.14, 441,850.32 and 176,949.72

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Solution

The fourth proportional to 320,209.14, 441,850.32 and 176,949.72 is: 244,169.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,209.14 : 441,850.32 = 176,949.72 : x
  2. Step 2: Convert to fraction form
    320,209.14/441,850.32 = 176,949.72/x
  3. Step 3: Cross multiply
    320,209.14x = 441,850.32 × 176,949.72
  4. Step 4: Simplify right side
    320,209.14x = 78,185,290,405.91
  5. Step 5: Solve for x
    x = 78,185,290,405.91/320,209.14
  6. Step 6: Final answer
    x = 244,169.45

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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.