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Finding the Fourth Proportional to 378,552.96, 567,129.60 and 191,116.80

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Solution

The fourth proportional to 378,552.96, 567,129.60 and 191,116.80 is: 286,321.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,552.96 : 567,129.60 = 191,116.80 : x
  2. Step 2: Convert to fraction form
    378,552.96/567,129.60 = 191,116.80/x
  3. Step 3: Cross multiply
    378,552.96x = 567,129.60 × 191,116.80
  4. Step 4: Simplify right side
    378,552.96x = 108,387,994,337.28
  5. Step 5: Solve for x
    x = 108,387,994,337.28/378,552.96
  6. Step 6: Final answer
    x = 286,321.88

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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.