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Finding the Fourth Proportional to 331,483.90, 497,659.47 and 196,793.86

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Solution

The fourth proportional to 331,483.90, 497,659.47 and 196,793.86 is: 295,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,483.90 : 497,659.47 = 196,793.86 : x
  2. Step 2: Convert to fraction form
    331,483.90/497,659.47 = 196,793.86/x
  3. Step 3: Cross multiply
    331,483.90x = 497,659.47 × 196,793.86
  4. Step 4: Simplify right side
    331,483.90x = 97,936,328,066.85
  5. Step 5: Solve for x
    x = 97,936,328,066.85/331,483.90
  6. Step 6: Final answer
    x = 295,448.22

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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.