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Finding the Fourth Proportional to 378,072.90, 521,023.05 and 270,456.30

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Solution

The fourth proportional to 378,072.90, 521,023.05 and 270,456.30 is: 372,716.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,072.90 : 521,023.05 = 270,456.30 : x
  2. Step 2: Convert to fraction form
    378,072.90/521,023.05 = 270,456.30/x
  3. Step 3: Cross multiply
    378,072.90x = 521,023.05 × 270,456.30
  4. Step 4: Simplify right side
    378,072.90x = 140,913,966,317.72
  5. Step 5: Solve for x
    x = 140,913,966,317.72/378,072.90
  6. Step 6: Final answer
    x = 372,716.39

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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.