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Finding the Fourth Proportional to 382,893.26, 574,379.17 and 146,434.82

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Solution

The fourth proportional to 382,893.26, 574,379.17 and 146,434.82 is: 219,667.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,893.26 : 574,379.17 = 146,434.82 : x
  2. Step 2: Convert to fraction form
    382,893.26/574,379.17 = 146,434.82/x
  3. Step 3: Cross multiply
    382,893.26x = 574,379.17 × 146,434.82
  4. Step 4: Simplify right side
    382,893.26x = 84,109,107,132.72
  5. Step 5: Solve for x
    x = 84,109,107,132.72/382,893.26
  6. Step 6: Final answer
    x = 219,667.25

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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.