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Finding the Fourth Proportional to 652,367.44, 978,642.42 and 203,120.92

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Solution

The fourth proportional to 652,367.44, 978,642.42 and 203,120.92 is: 304,709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,367.44 : 978,642.42 = 203,120.92 : x
  2. Step 2: Convert to fraction form
    652,367.44/978,642.42 = 203,120.92/x
  3. Step 3: Cross multiply
    652,367.44x = 978,642.42 × 203,120.92
  4. Step 4: Simplify right side
    652,367.44x = 198,782,748,701.43
  5. Step 5: Solve for x
    x = 198,782,748,701.43/652,367.44
  6. Step 6: Final answer
    x = 304,709.79

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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.