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Finding the Fourth Proportional to 274,256.80, 412,076.40 and 174,464.80

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Solution

The fourth proportional to 274,256.80, 412,076.40 and 174,464.80 is: 262,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,256.80 : 412,076.40 = 174,464.80 : x
  2. Step 2: Convert to fraction form
    274,256.80/412,076.40 = 174,464.80/x
  3. Step 3: Cross multiply
    274,256.80x = 412,076.40 × 174,464.80
  4. Step 4: Simplify right side
    274,256.80x = 71,892,826,710.72
  5. Step 5: Solve for x
    x = 71,892,826,710.72/274,256.80
  6. Step 6: Final answer
    x = 262,136.90

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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.