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Finding the Fourth Proportional to 417,858.30, 576,644.40 and 226,871.70

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Solution

The fourth proportional to 417,858.30, 576,644.40 and 226,871.70 is: 313,082.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,858.30 : 576,644.40 = 226,871.70 : x
  2. Step 2: Convert to fraction form
    417,858.30/576,644.40 = 226,871.70/x
  3. Step 3: Cross multiply
    417,858.30x = 576,644.40 × 226,871.70
  4. Step 4: Simplify right side
    417,858.30x = 130,824,295,323.48
  5. Step 5: Solve for x
    x = 130,824,295,323.48/417,858.30
  6. Step 6: Final answer
    x = 313,082.92

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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.