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Finding the Fourth Proportional to 322,413.54, 444,926.70 and 186,443.70

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Solution

The fourth proportional to 322,413.54, 444,926.70 and 186,443.70 is: 257,290.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,413.54 : 444,926.70 = 186,443.70 : x
  2. Step 2: Convert to fraction form
    322,413.54/444,926.70 = 186,443.70/x
  3. Step 3: Cross multiply
    322,413.54x = 444,926.70 × 186,443.70
  4. Step 4: Simplify right side
    322,413.54x = 82,953,780,176.79
  5. Step 5: Solve for x
    x = 82,953,780,176.79/322,413.54
  6. Step 6: Final answer
    x = 257,290.00

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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.