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Finding the Fourth Proportional to 442,119.44, 662,620.80 and 189,099.20

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Solution

The fourth proportional to 442,119.44, 662,620.80 and 189,099.20 is: 283,409.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,119.44 : 662,620.80 = 189,099.20 : x
  2. Step 2: Convert to fraction form
    442,119.44/662,620.80 = 189,099.20/x
  3. Step 3: Cross multiply
    442,119.44x = 662,620.80 × 189,099.20
  4. Step 4: Simplify right side
    442,119.44x = 125,301,063,183.36
  5. Step 5: Solve for x
    x = 125,301,063,183.36/442,119.44
  6. Step 6: Final answer
    x = 283,409.98

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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.