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Finding the Fourth Proportional to 378,261.66, 521,994.86 and 208,511.58

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Solution

The fourth proportional to 378,261.66, 521,994.86 and 208,511.58 is: 287,742.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,261.66 : 521,994.86 = 208,511.58 : x
  2. Step 2: Convert to fraction form
    378,261.66/521,994.86 = 208,511.58/x
  3. Step 3: Cross multiply
    378,261.66x = 521,994.86 × 208,511.58
  4. Step 4: Simplify right side
    378,261.66x = 108,841,973,010.48
  5. Step 5: Solve for x
    x = 108,841,973,010.48/378,261.66
  6. Step 6: Final answer
    x = 287,742.55

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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.