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Finding the Fourth Proportional to 378,054.63, 521,713.83 and 205,972.11

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Solution

The fourth proportional to 378,054.63, 521,713.83 and 205,972.11 is: 284,240.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,054.63 : 521,713.83 = 205,972.11 : x
  2. Step 2: Convert to fraction form
    378,054.63/521,713.83 = 205,972.11/x
  3. Step 3: Cross multiply
    378,054.63x = 521,713.83 × 205,972.11
  4. Step 4: Simplify right side
    378,054.63x = 107,458,498,381.28
  5. Step 5: Solve for x
    x = 107,458,498,381.28/378,054.63
  6. Step 6: Final answer
    x = 284,240.66

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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.