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Finding the Fourth Proportional to 378,014.29, 521,659.69 and 208,248.41

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Solution

The fourth proportional to 378,014.29, 521,659.69 and 208,248.41 is: 287,382.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,014.29 : 521,659.69 = 208,248.41 : x
  2. Step 2: Convert to fraction form
    378,014.29/521,659.69 = 208,248.41/x
  3. Step 3: Cross multiply
    378,014.29x = 521,659.69 × 208,248.41
  4. Step 4: Simplify right side
    378,014.29x = 108,634,801,003.59
  5. Step 5: Solve for x
    x = 108,634,801,003.59/378,014.29
  6. Step 6: Final answer
    x = 287,382.79

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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.