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Finding the Fourth Proportional to 396,038.38, 546,561.94 and 226,268.86

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Solution

The fourth proportional to 396,038.38, 546,561.94 and 226,268.86 is: 312,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,038.38 : 546,561.94 = 226,268.86 : x
  2. Step 2: Convert to fraction form
    396,038.38/546,561.94 = 226,268.86/x
  3. Step 3: Cross multiply
    396,038.38x = 546,561.94 × 226,268.86
  4. Step 4: Simplify right side
    396,038.38x = 123,669,947,083.19
  5. Step 5: Solve for x
    x = 123,669,947,083.19/396,038.38
  6. Step 6: Final answer
    x = 312,267.58

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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.