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Finding the Fourth Proportional to 339,003.64, 467,911.02 and 231,617.08

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Solution

The fourth proportional to 339,003.64, 467,911.02 and 231,617.08 is: 319,690.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,003.64 : 467,911.02 = 231,617.08 : x
  2. Step 2: Convert to fraction form
    339,003.64/467,911.02 = 231,617.08/x
  3. Step 3: Cross multiply
    339,003.64x = 467,911.02 × 231,617.08
  4. Step 4: Simplify right side
    339,003.64x = 108,376,184,152.22
  5. Step 5: Solve for x
    x = 108,376,184,152.22/339,003.64
  6. Step 6: Final answer
    x = 319,690.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.