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Finding the Fourth Proportional to 378,273.38, 521,721.95 and 242,319.96

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Solution

The fourth proportional to 378,273.38, 521,721.95 and 242,319.96 is: 334,212.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,273.38 : 521,721.95 = 242,319.96 : x
  2. Step 2: Convert to fraction form
    378,273.38/521,721.95 = 242,319.96/x
  3. Step 3: Cross multiply
    378,273.38x = 521,721.95 × 242,319.96
  4. Step 4: Simplify right side
    378,273.38x = 126,423,640,843.52
  5. Step 5: Solve for x
    x = 126,423,640,843.52/378,273.38
  6. Step 6: Final answer
    x = 334,212.37

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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.