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Finding the Fourth Proportional to 310,714.80, 464,905.80 and 205,738.80

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Solution

The fourth proportional to 310,714.80, 464,905.80 and 205,738.80 is: 307,835.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,714.80 : 464,905.80 = 205,738.80 : x
  2. Step 2: Convert to fraction form
    310,714.80/464,905.80 = 205,738.80/x
  3. Step 3: Cross multiply
    310,714.80x = 464,905.80 × 205,738.80
  4. Step 4: Simplify right side
    310,714.80x = 95,649,161,405.04
  5. Step 5: Solve for x
    x = 95,649,161,405.04/310,714.80
  6. Step 6: Final answer
    x = 307,835.87

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