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Finding the Fourth Proportional to 417,612.14, 576,305.13 and 226,625.53

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Solution

The fourth proportional to 417,612.14, 576,305.13 and 226,625.53 is: 312,743.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,612.14 : 576,305.13 = 226,625.53 : x
  2. Step 2: Convert to fraction form
    417,612.14/576,305.13 = 226,625.53/x
  3. Step 3: Cross multiply
    417,612.14x = 576,305.13 × 226,625.53
  4. Step 4: Simplify right side
    417,612.14x = 130,605,456,968.73
  5. Step 5: Solve for x
    x = 130,605,456,968.73/417,612.14
  6. Step 6: Final answer
    x = 312,743.44

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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.