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Finding the Fourth Proportional to 567,761.21, 851,996.36 and 378,354.47

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Solution

The fourth proportional to 567,761.21, 851,996.36 and 378,354.47 is: 567,767.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,761.21 : 851,996.36 = 378,354.47 : x
  2. Step 2: Convert to fraction form
    567,761.21/851,996.36 = 378,354.47/x
  3. Step 3: Cross multiply
    567,761.21x = 851,996.36 × 378,354.47
  4. Step 4: Simplify right side
    567,761.21x = 322,356,635,193.69
  5. Step 5: Solve for x
    x = 322,356,635,193.69/567,761.21
  6. Step 6: Final answer
    x = 567,767.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.