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Finding the Fourth Proportional to 396,009.60, 593,139.60 and 159,230.40

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Solution

The fourth proportional to 396,009.60, 593,139.60 and 159,230.40 is: 238,493.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,009.60 : 593,139.60 = 159,230.40 : x
  2. Step 2: Convert to fraction form
    396,009.60/593,139.60 = 159,230.40/x
  3. Step 3: Cross multiply
    396,009.60x = 593,139.60 × 159,230.40
  4. Step 4: Simplify right side
    396,009.60x = 94,445,855,763.84
  5. Step 5: Solve for x
    x = 94,445,855,763.84/396,009.60
  6. Step 6: Final answer
    x = 238,493.85

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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.