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Finding the Fourth Proportional to 378,151.94, 521,842.92 and 206,071.40

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Solution

The fourth proportional to 378,151.94, 521,842.92 and 206,071.40 is: 284,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,151.94 : 521,842.92 = 206,071.40 : x
  2. Step 2: Convert to fraction form
    378,151.94/521,842.92 = 206,071.40/x
  3. Step 3: Cross multiply
    378,151.94x = 521,842.92 × 206,071.40
  4. Step 4: Simplify right side
    378,151.94x = 107,536,901,104.49
  5. Step 5: Solve for x
    x = 107,536,901,104.49/378,151.94
  6. Step 6: Final answer
    x = 284,374.85

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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.