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Finding the Fourth Proportional to 417,927.68, 576,735.16 and 226,942.43

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Solution

The fourth proportional to 417,927.68, 576,735.16 and 226,942.43 is: 313,177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,927.68 : 576,735.16 = 226,942.43 : x
  2. Step 2: Convert to fraction form
    417,927.68/576,735.16 = 226,942.43/x
  3. Step 3: Cross multiply
    417,927.68x = 576,735.16 × 226,942.43
  4. Step 4: Simplify right side
    417,927.68x = 130,885,678,676.84
  5. Step 5: Solve for x
    x = 130,885,678,676.84/417,927.68
  6. Step 6: Final answer
    x = 313,177.82

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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.