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Finding the Fourth Proportional to 337,269.72, 465,413.94 and 186,357

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Solution

The fourth proportional to 337,269.72, 465,413.94 and 186,357 is: 257,162.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,269.72 : 465,413.94 = 186,357 : x
  2. Step 2: Convert to fraction form
    337,269.72/465,413.94 = 186,357/x
  3. Step 3: Cross multiply
    337,269.72x = 465,413.94 × 186,357
  4. Step 4: Simplify right side
    337,269.72x = 86,733,145,616.58
  5. Step 5: Solve for x
    x = 86,733,145,616.58/337,269.72
  6. Step 6: Final answer
    x = 257,162.56

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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.