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Finding the Fourth Proportional to 417,791.64, 576,564.28 and 226,817.48

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Solution

The fourth proportional to 417,791.64, 576,564.28 and 226,817.48 is: 313,014.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,791.64 : 576,564.28 = 226,817.48 : x
  2. Step 2: Convert to fraction form
    417,791.64/576,564.28 = 226,817.48/x
  3. Step 3: Cross multiply
    417,791.64x = 576,564.28 × 226,817.48
  4. Step 4: Simplify right side
    417,791.64x = 130,774,857,047.61
  5. Step 5: Solve for x
    x = 130,774,857,047.61/417,791.64
  6. Step 6: Final answer
    x = 313,014.54

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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.