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Finding the Fourth Proportional to 396,657.36, 595,102.68 and 159,878.16

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Solution

The fourth proportional to 396,657.36, 595,102.68 and 159,878.16 is: 239,864.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,657.36 : 595,102.68 = 159,878.16 : x
  2. Step 2: Convert to fraction form
    396,657.36/595,102.68 = 159,878.16/x
  3. Step 3: Cross multiply
    396,657.36x = 595,102.68 × 159,878.16
  4. Step 4: Simplify right side
    396,657.36x = 95,143,921,489.47
  5. Step 5: Solve for x
    x = 95,143,921,489.47/396,657.36
  6. Step 6: Final answer
    x = 239,864.25

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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.