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Finding the Fourth Proportional to 689,996.56, 952,206 and 384,076.30

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Solution

The fourth proportional to 689,996.56, 952,206 and 384,076.30 is: 530,031.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,996.56 : 952,206 = 384,076.30 : x
  2. Step 2: Convert to fraction form
    689,996.56/952,206 = 384,076.30/x
  3. Step 3: Cross multiply
    689,996.56x = 952,206 × 384,076.30
  4. Step 4: Simplify right side
    689,996.56x = 365,719,757,317.80
  5. Step 5: Solve for x
    x = 365,719,757,317.80/689,996.56
  6. Step 6: Final answer
    x = 530,031.28

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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.