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Finding the Fourth Proportional to 351,430.14, 484,954.38 and 206,216.37

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Solution

The fourth proportional to 351,430.14, 484,954.38 and 206,216.37 is: 284,567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,430.14 : 484,954.38 = 206,216.37 : x
  2. Step 2: Convert to fraction form
    351,430.14/484,954.38 = 206,216.37/x
  3. Step 3: Cross multiply
    351,430.14x = 484,954.38 × 206,216.37
  4. Step 4: Simplify right side
    351,430.14x = 100,005,531,859.20
  5. Step 5: Solve for x
    x = 100,005,531,859.20/351,430.14
  6. Step 6: Final answer
    x = 284,567.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.