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Finding the Fourth Proportional to 298,447.38, 447,826.59 and 132,196.50

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Solution

The fourth proportional to 298,447.38, 447,826.59 and 132,196.50 is: 198,363.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,447.38 : 447,826.59 = 132,196.50 : x
  2. Step 2: Convert to fraction form
    298,447.38/447,826.59 = 132,196.50/x
  3. Step 3: Cross multiply
    298,447.38x = 447,826.59 × 132,196.50
  4. Step 4: Simplify right side
    298,447.38x = 59,201,107,804.94
  5. Step 5: Solve for x
    x = 59,201,107,804.94/298,447.38
  6. Step 6: Final answer
    x = 198,363.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.