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Finding the Fourth Proportional to 322,346.60, 444,877.10 and 186,413.95

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Solution

The fourth proportional to 322,346.60, 444,877.10 and 186,413.95 is: 257,273.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,346.60 : 444,877.10 = 186,413.95 : x
  2. Step 2: Convert to fraction form
    322,346.60/444,877.10 = 186,413.95/x
  3. Step 3: Cross multiply
    322,346.60x = 444,877.10 × 186,413.95
  4. Step 4: Simplify right side
    322,346.60x = 82,931,297,475.55
  5. Step 5: Solve for x
    x = 82,931,297,475.55/322,346.60
  6. Step 6: Final answer
    x = 257,273.68

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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.