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Finding the Fourth Proportional to 384,200.40, 575,566.20 and 206,648.40

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Solution

The fourth proportional to 384,200.40, 575,566.20 and 206,648.40 is: 309,577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,200.40 : 575,566.20 = 206,648.40 : x
  2. Step 2: Convert to fraction form
    384,200.40/575,566.20 = 206,648.40/x
  3. Step 3: Cross multiply
    384,200.40x = 575,566.20 × 206,648.40
  4. Step 4: Simplify right side
    384,200.40x = 118,939,834,324.08
  5. Step 5: Solve for x
    x = 118,939,834,324.08/384,200.40
  6. Step 6: Final answer
    x = 309,577.59

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