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Finding the Fourth Proportional to 365,882.50, 504,905.16 and 202,546.10

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Solution

The fourth proportional to 365,882.50, 504,905.16 and 202,546.10 is: 279,506.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,882.50 : 504,905.16 = 202,546.10 : x
  2. Step 2: Convert to fraction form
    365,882.50/504,905.16 = 202,546.10/x
  3. Step 3: Cross multiply
    365,882.50x = 504,905.16 × 202,546.10
  4. Step 4: Simplify right side
    365,882.50x = 102,266,571,027.88
  5. Step 5: Solve for x
    x = 102,266,571,027.88/365,882.50
  6. Step 6: Final answer
    x = 279,506.59

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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.