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Finding the Fourth Proportional to 378,109.26, 567,400.50 and 153,469.80

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Solution

The fourth proportional to 378,109.26, 567,400.50 and 153,469.80 is: 230,300.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,109.26 : 567,400.50 = 153,469.80 : x
  2. Step 2: Convert to fraction form
    378,109.26/567,400.50 = 153,469.80/x
  3. Step 3: Cross multiply
    378,109.26x = 567,400.50 × 153,469.80
  4. Step 4: Simplify right side
    378,109.26x = 87,078,841,254.90
  5. Step 5: Solve for x
    x = 87,078,841,254.90/378,109.26
  6. Step 6: Final answer
    x = 230,300.74

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