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Finding the Fourth Proportional to 491,671.92, 678,507.07 and 287,761.66

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Solution

The fourth proportional to 491,671.92, 678,507.07 and 287,761.66 is: 397,110.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,671.92 : 678,507.07 = 287,761.66 : x
  2. Step 2: Convert to fraction form
    491,671.92/678,507.07 = 287,761.66/x
  3. Step 3: Cross multiply
    491,671.92x = 678,507.07 × 287,761.66
  4. Step 4: Simplify right side
    491,671.92x = 195,248,320,784.94
  5. Step 5: Solve for x
    x = 195,248,320,784.94/491,671.92
  6. Step 6: Final answer
    x = 397,110.99

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Why These Related Problems?

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