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Finding the Fourth Proportional to 599,324.47, 827,092.90 and 344,675.86

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Solution

The fourth proportional to 599,324.47, 827,092.90 and 344,675.86 is: 475,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,324.47 : 827,092.90 = 344,675.86 : x
  2. Step 2: Convert to fraction form
    599,324.47/827,092.90 = 344,675.86/x
  3. Step 3: Cross multiply
    599,324.47x = 827,092.90 × 344,675.86
  4. Step 4: Simplify right side
    599,324.47x = 285,078,956,607.39
  5. Step 5: Solve for x
    x = 285,078,956,607.39/599,324.47
  6. Step 6: Final answer
    x = 475,667.14

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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.