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Finding the Fourth Proportional to 384,147.84, 530,035.92 and 231,144.96

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Solution

The fourth proportional to 384,147.84, 530,035.92 and 231,144.96 is: 318,927.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,147.84 : 530,035.92 = 231,144.96 : x
  2. Step 2: Convert to fraction form
    384,147.84/530,035.92 = 231,144.96/x
  3. Step 3: Cross multiply
    384,147.84x = 530,035.92 × 231,144.96
  4. Step 4: Simplify right side
    384,147.84x = 122,515,131,526.96
  5. Step 5: Solve for x
    x = 122,515,131,526.96/384,147.84
  6. Step 6: Final answer
    x = 318,927.03

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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.