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Finding the Fourth Proportional to 417,607.56, 576,299.94 and 226,620.90

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Solution

The fourth proportional to 417,607.56, 576,299.94 and 226,620.90 is: 312,737.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,607.56 : 576,299.94 = 226,620.90 : x
  2. Step 2: Convert to fraction form
    417,607.56/576,299.94 = 226,620.90/x
  3. Step 3: Cross multiply
    417,607.56x = 576,299.94 × 226,620.90
  4. Step 4: Simplify right side
    417,607.56x = 130,601,611,072.75
  5. Step 5: Solve for x
    x = 130,601,611,072.75/417,607.56
  6. Step 6: Final answer
    x = 312,737.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.