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Finding the Fourth Proportional to 534,816, 738,046.08 and 319,965.12

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Solution

The fourth proportional to 534,816, 738,046.08 and 319,965.12 is: 441,551.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,816 : 738,046.08 = 319,965.12 : x
  2. Step 2: Convert to fraction form
    534,816/738,046.08 = 319,965.12/x
  3. Step 3: Cross multiply
    534,816x = 738,046.08 × 319,965.12
  4. Step 4: Simplify right side
    534,816x = 236,149,002,552.73
  5. Step 5: Solve for x
    x = 236,149,002,552.73/534,816
  6. Step 6: Final answer
    x = 441,551.87

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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.