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Finding the Fourth Proportional to 314,103.42, 470,976.08 and 214,384.32

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Solution

The fourth proportional to 314,103.42, 470,976.08 and 214,384.32 is: 321,454.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,103.42 : 470,976.08 = 214,384.32 : x
  2. Step 2: Convert to fraction form
    314,103.42/470,976.08 = 214,384.32/x
  3. Step 3: Cross multiply
    314,103.42x = 470,976.08 × 214,384.32
  4. Step 4: Simplify right side
    314,103.42x = 100,969,886,647.07
  5. Step 5: Solve for x
    x = 100,969,886,647.07/314,103.42
  6. Step 6: Final answer
    x = 321,454.27

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