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Finding the Fourth Proportional to 365,326, 547,770.30 and 151,836.64

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Solution

The fourth proportional to 365,326, 547,770.30 and 151,836.64 is: 227,664.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,326 : 547,770.30 = 151,836.64 : x
  2. Step 2: Convert to fraction form
    365,326/547,770.30 = 151,836.64/x
  3. Step 3: Cross multiply
    365,326x = 547,770.30 × 151,836.64
  4. Step 4: Simplify right side
    365,326x = 83,171,601,843.79
  5. Step 5: Solve for x
    x = 83,171,601,843.79/365,326
  6. Step 6: Final answer
    x = 227,664.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.