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Finding the Fourth Proportional to 415,775.20, 623,662.80 and 205,823.20

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Solution

The fourth proportional to 415,775.20, 623,662.80 and 205,823.20 is: 308,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,775.20 : 623,662.80 = 205,823.20 : x
  2. Step 2: Convert to fraction form
    415,775.20/623,662.80 = 205,823.20/x
  3. Step 3: Cross multiply
    415,775.20x = 623,662.80 × 205,823.20
  4. Step 4: Simplify right side
    415,775.20x = 128,364,273,216.96
  5. Step 5: Solve for x
    x = 128,364,273,216.96/415,775.20
  6. Step 6: Final answer
    x = 308,734.80

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