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Finding the Fourth Proportional to 396,006.48, 593,871.48 and 159,287.76

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Solution

The fourth proportional to 396,006.48, 593,871.48 and 159,287.76 is: 238,876.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,006.48 : 593,871.48 = 159,287.76 : x
  2. Step 2: Convert to fraction form
    396,006.48/593,871.48 = 159,287.76/x
  3. Step 3: Cross multiply
    396,006.48x = 593,871.48 × 159,287.76
  4. Step 4: Simplify right side
    396,006.48x = 94,596,457,777.08
  5. Step 5: Solve for x
    x = 94,596,457,777.08/396,006.48
  6. Step 6: Final answer
    x = 238,876.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.