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Finding the Fourth Proportional to 413,722.40, 620,583.60 and 256,258.40

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Solution

The fourth proportional to 413,722.40, 620,583.60 and 256,258.40 is: 384,387.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,722.40 : 620,583.60 = 256,258.40 : x
  2. Step 2: Convert to fraction form
    413,722.40/620,583.60 = 256,258.40/x
  3. Step 3: Cross multiply
    413,722.40x = 620,583.60 × 256,258.40
  4. Step 4: Simplify right side
    413,722.40x = 159,029,760,402.24
  5. Step 5: Solve for x
    x = 159,029,760,402.24/413,722.40
  6. Step 6: Final answer
    x = 384,387.60

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