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Finding the Fourth Proportional to 217,484.40, 327,101.40 and 194,739.60

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Solution

The fourth proportional to 217,484.40, 327,101.40 and 194,739.60 is: 292,892.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,484.40 : 327,101.40 = 194,739.60 : x
  2. Step 2: Convert to fraction form
    217,484.40/327,101.40 = 194,739.60/x
  3. Step 3: Cross multiply
    217,484.40x = 327,101.40 × 194,739.60
  4. Step 4: Simplify right side
    217,484.40x = 63,699,595,795.44
  5. Step 5: Solve for x
    x = 63,699,595,795.44/217,484.40
  6. Step 6: Final answer
    x = 292,892.71

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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.