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Finding the Fourth Proportional to 820,672.40, 1,231,123.80 and 259,648.40

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Solution

The fourth proportional to 820,672.40, 1,231,123.80 and 259,648.40 is: 389,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,672.40 : 1,231,123.80 = 259,648.40 : x
  2. Step 2: Convert to fraction form
    820,672.40/1,231,123.80 = 259,648.40/x
  3. Step 3: Cross multiply
    820,672.40x = 1,231,123.80 × 259,648.40
  4. Step 4: Simplify right side
    820,672.40x = 319,659,324,871.92
  5. Step 5: Solve for x
    x = 319,659,324,871.92/820,672.40
  6. Step 6: Final answer
    x = 389,509.05

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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.