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Finding the Fourth Proportional to 417,636.63, 576,338.85 and 226,649.97

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Solution

The fourth proportional to 417,636.63, 576,338.85 and 226,649.97 is: 312,777.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,636.63 : 576,338.85 = 226,649.97 : x
  2. Step 2: Convert to fraction form
    417,636.63/576,338.85 = 226,649.97/x
  3. Step 3: Cross multiply
    417,636.63x = 576,338.85 × 226,649.97
  4. Step 4: Simplify right side
    417,636.63x = 130,627,183,062.33
  5. Step 5: Solve for x
    x = 130,627,183,062.33/417,636.63
  6. Step 6: Final answer
    x = 312,777.12

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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.