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Finding the Fourth Proportional to 378,275.00, 522,003.77 and 206,189.17

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Solution

The fourth proportional to 378,275.00, 522,003.77 and 206,189.17 is: 284,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,275.00 : 522,003.77 = 206,189.17 : x
  2. Step 2: Convert to fraction form
    378,275.00/522,003.77 = 206,189.17/x
  3. Step 3: Cross multiply
    378,275.00x = 522,003.77 × 206,189.17
  4. Step 4: Simplify right side
    378,275.00x = 107,631,525,241.15
  5. Step 5: Solve for x
    x = 107,631,525,241.15/378,275.00
  6. Step 6: Final answer
    x = 284,532.48

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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.