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Finding the Fourth Proportional to 723,530, 998,471.40 and 405,578

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Solution

The fourth proportional to 723,530, 998,471.40 and 405,578 is: 559,697.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,530 : 998,471.40 = 405,578 : x
  2. Step 2: Convert to fraction form
    723,530/998,471.40 = 405,578/x
  3. Step 3: Cross multiply
    723,530x = 998,471.40 × 405,578
  4. Step 4: Simplify right side
    723,530x = 404,958,033,469.20
  5. Step 5: Solve for x
    x = 404,958,033,469.20/723,530
  6. Step 6: Final answer
    x = 559,697.64

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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.