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Finding the Fourth Proportional to 396,128.25, 546,655.38 and 214,839.45

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Solution

The fourth proportional to 396,128.25, 546,655.38 and 214,839.45 is: 296,477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,128.25 : 546,655.38 = 214,839.45 : x
  2. Step 2: Convert to fraction form
    396,128.25/546,655.38 = 214,839.45/x
  3. Step 3: Cross multiply
    396,128.25x = 546,655.38 × 214,839.45
  4. Step 4: Simplify right side
    396,128.25x = 117,443,141,178.74
  5. Step 5: Solve for x
    x = 117,443,141,178.74/396,128.25
  6. Step 6: Final answer
    x = 296,477.57

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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.