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Finding the Fourth Proportional to 509,694.52, 764,452.38 and 194,170.36

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Solution

The fourth proportional to 509,694.52, 764,452.38 and 194,170.36 is: 291,221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,694.52 : 764,452.38 = 194,170.36 : x
  2. Step 2: Convert to fraction form
    509,694.52/764,452.38 = 194,170.36/x
  3. Step 3: Cross multiply
    509,694.52x = 764,452.38 × 194,170.36
  4. Step 4: Simplify right side
    509,694.52x = 148,433,993,827.46
  5. Step 5: Solve for x
    x = 148,433,993,827.46/509,694.52
  6. Step 6: Final answer
    x = 291,221.48

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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.