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Finding the Fourth Proportional to 417,972.06, 576,796.23 and 226,986.78

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Solution

The fourth proportional to 417,972.06, 576,796.23 and 226,986.78 is: 313,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,972.06 : 576,796.23 = 226,986.78 : x
  2. Step 2: Convert to fraction form
    417,972.06/576,796.23 = 226,986.78/x
  3. Step 3: Cross multiply
    417,972.06x = 576,796.23 × 226,986.78
  4. Step 4: Simplify right side
    417,972.06x = 130,925,118,963.84
  5. Step 5: Solve for x
    x = 130,925,118,963.84/417,972.06
  6. Step 6: Final answer
    x = 313,238.93

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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.