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Finding the Fourth Proportional to 416,005.06, 622,782.87 and 257,724.58

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Solution

The fourth proportional to 416,005.06, 622,782.87 and 257,724.58 is: 385,828.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,005.06 : 622,782.87 = 257,724.58 : x
  2. Step 2: Convert to fraction form
    416,005.06/622,782.87 = 257,724.58/x
  3. Step 3: Cross multiply
    416,005.06x = 622,782.87 × 257,724.58
  4. Step 4: Simplify right side
    416,005.06x = 160,506,453,601.95
  5. Step 5: Solve for x
    x = 160,506,453,601.95/416,005.06
  6. Step 6: Final answer
    x = 385,828.13

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