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Finding the Fourth Proportional to 464,825.96, 641,480.82 and 364,049

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Solution

The fourth proportional to 464,825.96, 641,480.82 and 364,049 is: 502,404.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,825.96 : 641,480.82 = 364,049 : x
  2. Step 2: Convert to fraction form
    464,825.96/641,480.82 = 364,049/x
  3. Step 3: Cross multiply
    464,825.96x = 641,480.82 × 364,049
  4. Step 4: Simplify right side
    464,825.96x = 233,530,451,040.18
  5. Step 5: Solve for x
    x = 233,530,451,040.18/464,825.96
  6. Step 6: Final answer
    x = 502,404.06

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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.