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Finding the Fourth Proportional to 382,101.24, 527,302.80 and 238,944.28

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Solution

The fourth proportional to 382,101.24, 527,302.80 and 238,944.28 is: 329,745.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,101.24 : 527,302.80 = 238,944.28 : x
  2. Step 2: Convert to fraction form
    382,101.24/527,302.80 = 238,944.28/x
  3. Step 3: Cross multiply
    382,101.24x = 527,302.80 × 238,944.28
  4. Step 4: Simplify right side
    382,101.24x = 125,995,987,887.98
  5. Step 5: Solve for x
    x = 125,995,987,887.98/382,101.24
  6. Step 6: Final answer
    x = 329,745.04

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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.