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Finding the Fourth Proportional to 331,421.96, 497,197.92 and 131,705.12

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Solution

The fourth proportional to 331,421.96, 497,197.92 and 131,705.12 is: 197,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,421.96 : 497,197.92 = 131,705.12 : x
  2. Step 2: Convert to fraction form
    331,421.96/497,197.92 = 131,705.12/x
  3. Step 3: Cross multiply
    331,421.96x = 497,197.92 × 131,705.12
  4. Step 4: Simplify right side
    331,421.96x = 65,483,511,717.35
  5. Step 5: Solve for x
    x = 65,483,511,717.35/331,421.96
  6. Step 6: Final answer
    x = 197,583.50

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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.