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Finding the Fourth Proportional to 491,936.47, 678,876.11 and 277,056.43

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Solution

The fourth proportional to 491,936.47, 678,876.11 and 277,056.43 is: 382,340.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,936.47 : 678,876.11 = 277,056.43 : x
  2. Step 2: Convert to fraction form
    491,936.47/678,876.11 = 277,056.43/x
  3. Step 3: Cross multiply
    491,936.47x = 678,876.11 × 277,056.43
  4. Step 4: Simplify right side
    491,936.47x = 188,086,991,448.89
  5. Step 5: Solve for x
    x = 188,086,991,448.89/491,936.47
  6. Step 6: Final answer
    x = 382,340.00

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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.