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Finding the Fourth Proportional to 415,829.60, 623,744.40 and 205,877.60

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Solution

The fourth proportional to 415,829.60, 623,744.40 and 205,877.60 is: 308,816.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,829.60 : 623,744.40 = 205,877.60 : x
  2. Step 2: Convert to fraction form
    415,829.60/623,744.40 = 205,877.60/x
  3. Step 3: Cross multiply
    415,829.60x = 623,744.40 × 205,877.60
  4. Step 4: Simplify right side
    415,829.60x = 128,415,000,085.44
  5. Step 5: Solve for x
    x = 128,415,000,085.44/415,829.60
  6. Step 6: Final answer
    x = 308,816.40

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