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Finding the Fourth Proportional to 400,591.28, 552,814.80 and 230,825

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Solution

The fourth proportional to 400,591.28, 552,814.80 and 230,825 is: 318,537.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,591.28 : 552,814.80 = 230,825 : x
  2. Step 2: Convert to fraction form
    400,591.28/552,814.80 = 230,825/x
  3. Step 3: Cross multiply
    400,591.28x = 552,814.80 × 230,825
  4. Step 4: Simplify right side
    400,591.28x = 127,603,476,210.00
  5. Step 5: Solve for x
    x = 127,603,476,210.00/400,591.28
  6. Step 6: Final answer
    x = 318,537.83

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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.