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Finding the Fourth Proportional to 331,676.48, 497,509.60 and 82,360.64

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Solution

The fourth proportional to 331,676.48, 497,509.60 and 82,360.64 is: 123,539.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,676.48 : 497,509.60 = 82,360.64 : x
  2. Step 2: Convert to fraction form
    331,676.48/497,509.60 = 82,360.64/x
  3. Step 3: Cross multiply
    331,676.48x = 497,509.60 × 82,360.64
  4. Step 4: Simplify right side
    331,676.48x = 40,975,209,062.14
  5. Step 5: Solve for x
    x = 40,975,209,062.14/331,676.48
  6. Step 6: Final answer
    x = 123,539.69

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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.