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Finding the Fourth Proportional to 417,472.56, 576,113.25 and 226,485.95

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Solution

The fourth proportional to 417,472.56, 576,113.25 and 226,485.95 is: 312,551.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,472.56 : 576,113.25 = 226,485.95 : x
  2. Step 2: Convert to fraction form
    417,472.56/576,113.25 = 226,485.95/x
  3. Step 3: Cross multiply
    417,472.56x = 576,113.25 × 226,485.95
  4. Step 4: Simplify right side
    417,472.56x = 130,481,558,174.12
  5. Step 5: Solve for x
    x = 130,481,558,174.12/417,472.56
  6. Step 6: Final answer
    x = 312,551.22

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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.