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Finding the Fourth Proportional to 643,438.53, 965,133.51 and 194,147.42

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Solution

The fourth proportional to 643,438.53, 965,133.51 and 194,147.42 is: 291,213.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,438.53 : 965,133.51 = 194,147.42 : x
  2. Step 2: Convert to fraction form
    643,438.53/965,133.51 = 194,147.42/x
  3. Step 3: Cross multiply
    643,438.53x = 965,133.51 × 194,147.42
  4. Step 4: Simplify right side
    643,438.53x = 187,378,176,096.38
  5. Step 5: Solve for x
    x = 187,378,176,096.38/643,438.53
  6. Step 6: Final answer
    x = 291,213.79

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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.