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Finding the Fourth Proportional to 820,123.20, 1,230,379.20 and 420,825.60

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Solution

The fourth proportional to 820,123.20, 1,230,379.20 and 420,825.60 is: 631,338.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,123.20 : 1,230,379.20 = 420,825.60 : x
  2. Step 2: Convert to fraction form
    820,123.20/1,230,379.20 = 420,825.60/x
  3. Step 3: Cross multiply
    820,123.20x = 1,230,379.20 × 420,825.60
  4. Step 4: Simplify right side
    820,123.20x = 517,775,065,067.52
  5. Step 5: Solve for x
    x = 517,775,065,067.52/820,123.20
  6. Step 6: Final answer
    x = 631,338.15

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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.