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Finding the Fourth Proportional to 417,680.54, 576,394.35 and 226,694.06

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Solution

The fourth proportional to 417,680.54, 576,394.35 and 226,694.06 is: 312,835.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,680.54 : 576,394.35 = 226,694.06 : x
  2. Step 2: Convert to fraction form
    417,680.54/576,394.35 = 226,694.06/x
  3. Step 3: Cross multiply
    417,680.54x = 576,394.35 × 226,694.06
  4. Step 4: Simplify right side
    417,680.54x = 130,665,175,362.56
  5. Step 5: Solve for x
    x = 130,665,175,362.56/417,680.54
  6. Step 6: Final answer
    x = 312,835.20

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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.