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Finding the Fourth Proportional to 213,815.48, 320,501.76 and 175,978

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Solution

The fourth proportional to 213,815.48, 320,501.76 and 175,978 is: 263,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,815.48 : 320,501.76 = 175,978 : x
  2. Step 2: Convert to fraction form
    213,815.48/320,501.76 = 175,978/x
  3. Step 3: Cross multiply
    213,815.48x = 320,501.76 × 175,978
  4. Step 4: Simplify right side
    213,815.48x = 56,401,258,721.28
  5. Step 5: Solve for x
    x = 56,401,258,721.28/213,815.48
  6. Step 6: Final answer
    x = 263,784.73

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