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Finding the Fourth Proportional to 396,029.56, 546,615.33 and 234,978.07

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Solution

The fourth proportional to 396,029.56, 546,615.33 and 234,978.07 is: 324,325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,029.56 : 546,615.33 = 234,978.07 : x
  2. Step 2: Convert to fraction form
    396,029.56/546,615.33 = 234,978.07/x
  3. Step 3: Cross multiply
    396,029.56x = 546,615.33 × 234,978.07
  4. Step 4: Simplify right side
    396,029.56x = 128,442,615,275.81
  5. Step 5: Solve for x
    x = 128,442,615,275.81/396,029.56
  6. Step 6: Final answer
    x = 324,325.83

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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.