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Finding the Fourth Proportional to 599,759.74, 827,667.74 and 327,829.42

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Solution

The fourth proportional to 599,759.74, 827,667.74 and 327,829.42 is: 452,404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,759.74 : 827,667.74 = 327,829.42 : x
  2. Step 2: Convert to fraction form
    599,759.74/827,667.74 = 327,829.42/x
  3. Step 3: Cross multiply
    599,759.74x = 827,667.74 × 327,829.42
  4. Step 4: Simplify right side
    599,759.74x = 271,333,835,156.91
  5. Step 5: Solve for x
    x = 271,333,835,156.91/599,759.74
  6. Step 6: Final answer
    x = 452,404.22

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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.