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Finding the Fourth Proportional to 339,909.44, 469,080.96 and 186,964.16

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Solution

The fourth proportional to 339,909.44, 469,080.96 and 186,964.16 is: 258,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,909.44 : 469,080.96 = 186,964.16 : x
  2. Step 2: Convert to fraction form
    339,909.44/469,080.96 = 186,964.16/x
  3. Step 3: Cross multiply
    339,909.44x = 469,080.96 × 186,964.16
  4. Step 4: Simplify right side
    339,909.44x = 87,701,327,658.39
  5. Step 5: Solve for x
    x = 87,701,327,658.39/339,909.44
  6. Step 6: Final answer
    x = 258,013.80

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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.