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Finding the Fourth Proportional to 295,713.12, 408,084.48 and 161,577.12

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Solution

The fourth proportional to 295,713.12, 408,084.48 and 161,577.12 is: 222,976.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,713.12 : 408,084.48 = 161,577.12 : x
  2. Step 2: Convert to fraction form
    295,713.12/408,084.48 = 161,577.12/x
  3. Step 3: Cross multiply
    295,713.12x = 408,084.48 × 161,577.12
  4. Step 4: Simplify right side
    295,713.12x = 65,937,114,995.10
  5. Step 5: Solve for x
    x = 65,937,114,995.10/295,713.12
  6. Step 6: Final answer
    x = 222,976.63

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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.