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Finding the Fourth Proportional to 400,043.20, 551,799.48 and 256,576

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Solution

The fourth proportional to 400,043.20, 551,799.48 and 256,576 is: 353,908.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,043.20 : 551,799.48 = 256,576 : x
  2. Step 2: Convert to fraction form
    400,043.20/551,799.48 = 256,576/x
  3. Step 3: Cross multiply
    400,043.20x = 551,799.48 × 256,576
  4. Step 4: Simplify right side
    400,043.20x = 141,578,503,380.48
  5. Step 5: Solve for x
    x = 141,578,503,380.48/400,043.20
  6. Step 6: Final answer
    x = 353,908.04

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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.