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Finding the Fourth Proportional to 400,592.28, 552,816.18 and 230,826

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Solution

The fourth proportional to 400,592.28, 552,816.18 and 230,826 is: 318,539.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,592.28 : 552,816.18 = 230,826 : x
  2. Step 2: Convert to fraction form
    400,592.28/552,816.18 = 230,826/x
  3. Step 3: Cross multiply
    400,592.28x = 552,816.18 × 230,826
  4. Step 4: Simplify right side
    400,592.28x = 127,604,347,564.68
  5. Step 5: Solve for x
    x = 127,604,347,564.68/400,592.28
  6. Step 6: Final answer
    x = 318,539.21

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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.