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Finding the Fourth Proportional to 396,492.48, 594,730.88 and 159,829.76

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Solution

The fourth proportional to 396,492.48, 594,730.88 and 159,829.76 is: 239,741.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,492.48 : 594,730.88 = 159,829.76 : x
  2. Step 2: Convert to fraction form
    396,492.48/594,730.88 = 159,829.76/x
  3. Step 3: Cross multiply
    396,492.48x = 594,730.88 × 159,829.76
  4. Step 4: Simplify right side
    396,492.48x = 95,055,693,814.99
  5. Step 5: Solve for x
    x = 95,055,693,814.99/396,492.48
  6. Step 6: Final answer
    x = 239,741.48

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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.