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Finding the Fourth Proportional to 274,343.52, 412,205.40 and 174,548.28

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Solution

The fourth proportional to 274,343.52, 412,205.40 and 174,548.28 is: 262,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,343.52 : 412,205.40 = 174,548.28 : x
  2. Step 2: Convert to fraction form
    274,343.52/412,205.40 = 174,548.28/x
  3. Step 3: Cross multiply
    274,343.52x = 412,205.40 × 174,548.28
  4. Step 4: Simplify right side
    274,343.52x = 71,949,743,576.71
  5. Step 5: Solve for x
    x = 71,949,743,576.71/274,343.52
  6. Step 6: Final answer
    x = 262,261.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.