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Finding the Fourth Proportional to 297,968.10, 410,793.48 and 202,308.72

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Solution

The fourth proportional to 297,968.10, 410,793.48 and 202,308.72 is: 278,912.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,968.10 : 410,793.48 = 202,308.72 : x
  2. Step 2: Convert to fraction form
    297,968.10/410,793.48 = 202,308.72/x
  3. Step 3: Cross multiply
    297,968.10x = 410,793.48 × 202,308.72
  4. Step 4: Simplify right side
    297,968.10x = 83,107,103,123.15
  5. Step 5: Solve for x
    x = 83,107,103,123.15/297,968.10
  6. Step 6: Final answer
    x = 278,912.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.