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Finding the Fourth Proportional to 378,055.36, 521,714.77 and 205,972.79

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Solution

The fourth proportional to 378,055.36, 521,714.77 and 205,972.79 is: 284,241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,055.36 : 521,714.77 = 205,972.79 : x
  2. Step 2: Convert to fraction form
    378,055.36/521,714.77 = 205,972.79/x
  3. Step 3: Cross multiply
    378,055.36x = 521,714.77 × 205,972.79
  4. Step 4: Simplify right side
    378,055.36x = 107,459,046,761.11
  5. Step 5: Solve for x
    x = 107,459,046,761.11/378,055.36
  6. Step 6: Final answer
    x = 284,241.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.