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Finding the Fourth Proportional to 643,357.80, 965,043.61 and 194,082.56

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Solution

The fourth proportional to 643,357.80, 965,043.61 and 194,082.56 is: 291,125.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,357.80 : 965,043.61 = 194,082.56 : x
  2. Step 2: Convert to fraction form
    643,357.80/965,043.61 = 194,082.56/x
  3. Step 3: Cross multiply
    643,357.80x = 965,043.61 × 194,082.56
  4. Step 4: Simplify right side
    643,357.80x = 187,298,134,340.44
  5. Step 5: Solve for x
    x = 187,298,134,340.44/643,357.80
  6. Step 6: Final answer
    x = 291,125.92

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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.