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Finding the Fourth Proportional to 297,288, 410,257.44 and 178,056

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Solution

The fourth proportional to 297,288, 410,257.44 and 178,056 is: 245,717.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,288 : 410,257.44 = 178,056 : x
  2. Step 2: Convert to fraction form
    297,288/410,257.44 = 178,056/x
  3. Step 3: Cross multiply
    297,288x = 410,257.44 × 178,056
  4. Step 4: Simplify right side
    297,288x = 73,048,798,736.64
  5. Step 5: Solve for x
    x = 73,048,798,736.64/297,288
  6. Step 6: Final answer
    x = 245,717.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.