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Finding the Fourth Proportional to 384,654.69, 530,843.79 and 231,741.02

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Solution

The fourth proportional to 384,654.69, 530,843.79 and 231,741.02 is: 319,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,654.69 : 530,843.79 = 231,741.02 : x
  2. Step 2: Convert to fraction form
    384,654.69/530,843.79 = 231,741.02/x
  3. Step 3: Cross multiply
    384,654.69x = 530,843.79 × 231,741.02
  4. Step 4: Simplify right side
    384,654.69x = 123,018,278,701.05
  5. Step 5: Solve for x
    x = 123,018,278,701.05/384,654.69
  6. Step 6: Final answer
    x = 319,814.84

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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.