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Finding the Fourth Proportional to 396,277.38, 546,862.72 and 226,515.16

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Solution

The fourth proportional to 396,277.38, 546,862.72 and 226,515.16 is: 312,590.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,277.38 : 546,862.72 = 226,515.16 : x
  2. Step 2: Convert to fraction form
    396,277.38/546,862.72 = 226,515.16/x
  3. Step 3: Cross multiply
    396,277.38x = 546,862.72 × 226,515.16
  4. Step 4: Simplify right side
    396,277.38x = 123,872,696,518.84
  5. Step 5: Solve for x
    x = 123,872,696,518.84/396,277.38
  6. Step 6: Final answer
    x = 312,590.88

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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.