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Finding the Fourth Proportional to 418,065.30, 576,936.81 and 227,078.82

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Solution

The fourth proportional to 418,065.30, 576,936.81 and 227,078.82 is: 313,372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,065.30 : 576,936.81 = 227,078.82 : x
  2. Step 2: Convert to fraction form
    418,065.30/576,936.81 = 227,078.82/x
  3. Step 3: Cross multiply
    418,065.30x = 576,936.81 × 227,078.82
  4. Step 4: Simplify right side
    418,065.30x = 131,010,130,029.36
  5. Step 5: Solve for x
    x = 131,010,130,029.36/418,065.30
  6. Step 6: Final answer
    x = 313,372.41

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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.