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Finding the Fourth Proportional to 417,517.38, 576,174.02 and 226,530.77

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Solution

The fourth proportional to 417,517.38, 576,174.02 and 226,530.77 is: 312,612.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,517.38 : 576,174.02 = 226,530.77 : x
  2. Step 2: Convert to fraction form
    417,517.38/576,174.02 = 226,530.77/x
  3. Step 3: Cross multiply
    417,517.38x = 576,174.02 × 226,530.77
  4. Step 4: Simplify right side
    417,517.38x = 130,521,140,391.07
  5. Step 5: Solve for x
    x = 130,521,140,391.07/417,517.38
  6. Step 6: Final answer
    x = 312,612.47

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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.