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Finding the Fourth Proportional to 598,866.86, 827,337.68 and 392,625.27

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Solution

The fourth proportional to 598,866.86, 827,337.68 and 392,625.27 is: 542,413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,866.86 : 827,337.68 = 392,625.27 : x
  2. Step 2: Convert to fraction form
    598,866.86/827,337.68 = 392,625.27/x
  3. Step 3: Cross multiply
    598,866.86x = 827,337.68 × 392,625.27
  4. Step 4: Simplify right side
    598,866.86x = 324,833,679,500.39
  5. Step 5: Solve for x
    x = 324,833,679,500.39/598,866.86
  6. Step 6: Final answer
    x = 542,413.85

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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.