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Finding the Fourth Proportional to 380,306.64, 524,821.36 and 205,876.38

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Solution

The fourth proportional to 380,306.64, 524,821.36 and 205,876.38 is: 284,108.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,306.64 : 524,821.36 = 205,876.38 : x
  2. Step 2: Convert to fraction form
    380,306.64/524,821.36 = 205,876.38/x
  3. Step 3: Cross multiply
    380,306.64x = 524,821.36 × 205,876.38
  4. Step 4: Simplify right side
    380,306.64x = 108,048,321,743.48
  5. Step 5: Solve for x
    x = 108,048,321,743.48/380,306.64
  6. Step 6: Final answer
    x = 284,108.43

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