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Finding the Fourth Proportional to 417,775.84, 576,531.39 and 226,789.36

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Solution

The fourth proportional to 417,775.84, 576,531.39 and 226,789.36 is: 312,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,775.84 : 576,531.39 = 226,789.36 : x
  2. Step 2: Convert to fraction form
    417,775.84/576,531.39 = 226,789.36/x
  3. Step 3: Cross multiply
    417,775.84x = 576,531.39 × 226,789.36
  4. Step 4: Simplify right side
    417,775.84x = 130,751,184,958.01
  5. Step 5: Solve for x
    x = 130,751,184,958.01/417,775.84
  6. Step 6: Final answer
    x = 312,969.71

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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.