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Finding the Fourth Proportional to 601,390.44, 829,919.82 and 329,452.38

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Solution

The fourth proportional to 601,390.44, 829,919.82 and 329,452.38 is: 454,644.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,390.44 : 829,919.82 = 329,452.38 : x
  2. Step 2: Convert to fraction form
    601,390.44/829,919.82 = 329,452.38/x
  3. Step 3: Cross multiply
    601,390.44x = 829,919.82 × 329,452.38
  4. Step 4: Simplify right side
    601,390.44x = 273,419,059,908.17
  5. Step 5: Solve for x
    x = 273,419,059,908.17/601,390.44
  6. Step 6: Final answer
    x = 454,644.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.