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Finding the Fourth Proportional to 491,961.68, 678,675.12 and 287,886.32

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Solution

The fourth proportional to 491,961.68, 678,675.12 and 287,886.32 is: 397,147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,961.68 : 678,675.12 = 287,886.32 : x
  2. Step 2: Convert to fraction form
    491,961.68/678,675.12 = 287,886.32/x
  3. Step 3: Cross multiply
    491,961.68x = 678,675.12 × 287,886.32
  4. Step 4: Simplify right side
    491,961.68x = 195,381,282,772.36
  5. Step 5: Solve for x
    x = 195,381,282,772.36/491,961.68
  6. Step 6: Final answer
    x = 397,147.36

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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.