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Finding the Fourth Proportional to 354,939.20, 532,408.80 and 189,051.20

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Solution

The fourth proportional to 354,939.20, 532,408.80 and 189,051.20 is: 283,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,939.20 : 532,408.80 = 189,051.20 : x
  2. Step 2: Convert to fraction form
    354,939.20/532,408.80 = 189,051.20/x
  3. Step 3: Cross multiply
    354,939.20x = 532,408.80 × 189,051.20
  4. Step 4: Simplify right side
    354,939.20x = 100,652,522,530.56
  5. Step 5: Solve for x
    x = 100,652,522,530.56/354,939.20
  6. Step 6: Final answer
    x = 283,576.80

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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.