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Finding the Fourth Proportional to 331,281.20, 496,630.20 and 198,214.40

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Solution

The fourth proportional to 331,281.20, 496,630.20 and 198,214.40 is: 297,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,281.20 : 496,630.20 = 198,214.40 : x
  2. Step 2: Convert to fraction form
    331,281.20/496,630.20 = 198,214.40/x
  3. Step 3: Cross multiply
    331,281.20x = 496,630.20 × 198,214.40
  4. Step 4: Simplify right side
    331,281.20x = 98,439,257,114.88
  5. Step 5: Solve for x
    x = 98,439,257,114.88/331,281.20
  6. Step 6: Final answer
    x = 297,147.13

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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.