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Finding the Fourth Proportional to 442,961.40, 664,442.10 and 162,442.20

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Solution

The fourth proportional to 442,961.40, 664,442.10 and 162,442.20 is: 243,663.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,961.40 : 664,442.10 = 162,442.20 : x
  2. Step 2: Convert to fraction form
    442,961.40/664,442.10 = 162,442.20/x
  3. Step 3: Cross multiply
    442,961.40x = 664,442.10 × 162,442.20
  4. Step 4: Simplify right side
    442,961.40x = 107,933,436,496.62
  5. Step 5: Solve for x
    x = 107,933,436,496.62/442,961.40
  6. Step 6: Final answer
    x = 243,663.30

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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.