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Finding the Fourth Proportional to 396,384.38, 546,854.73 and 226,527.38

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Solution

The fourth proportional to 396,384.38, 546,854.73 and 226,527.38 is: 312,518.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,384.38 : 546,854.73 = 226,527.38 : x
  2. Step 2: Convert to fraction form
    396,384.38/546,854.73 = 226,527.38/x
  3. Step 3: Cross multiply
    396,384.38x = 546,854.73 × 226,527.38
  4. Step 4: Simplify right side
    396,384.38x = 123,877,569,227.51
  5. Step 5: Solve for x
    x = 123,877,569,227.51/396,384.38
  6. Step 6: Final answer
    x = 312,518.80

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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.