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Finding the Fourth Proportional to 417,654.63, 576,363.69 and 226,667.97

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Solution

The fourth proportional to 417,654.63, 576,363.69 and 226,667.97 is: 312,801.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,654.63 : 576,363.69 = 226,667.97 : x
  2. Step 2: Convert to fraction form
    417,654.63/576,363.69 = 226,667.97/x
  3. Step 3: Cross multiply
    417,654.63x = 576,363.69 × 226,667.97
  4. Step 4: Simplify right side
    417,654.63x = 130,643,187,594.01
  5. Step 5: Solve for x
    x = 130,643,187,594.01/417,654.63
  6. Step 6: Final answer
    x = 312,801.96

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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.