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Finding the Fourth Proportional to 417,602.75, 576,293.33 and 226,616.09

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Solution

The fourth proportional to 417,602.75, 576,293.33 and 226,616.09 is: 312,731.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,602.75 : 576,293.33 = 226,616.09 : x
  2. Step 2: Convert to fraction form
    417,602.75/576,293.33 = 226,616.09/x
  3. Step 3: Cross multiply
    417,602.75x = 576,293.33 × 226,616.09
  4. Step 4: Simplify right side
    417,602.75x = 130,597,338,822.75
  5. Step 5: Solve for x
    x = 130,597,338,822.75/417,602.75
  6. Step 6: Final answer
    x = 312,731.04

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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.