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Finding the Fourth Proportional to 274,768.80, 411,634.80 and 256,106.40

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Solution

The fourth proportional to 274,768.80, 411,634.80 and 256,106.40 is: 383,676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,768.80 : 411,634.80 = 256,106.40 : x
  2. Step 2: Convert to fraction form
    274,768.80/411,634.80 = 256,106.40/x
  3. Step 3: Cross multiply
    274,768.80x = 411,634.80 × 256,106.40
  4. Step 4: Simplify right side
    274,768.80x = 105,422,306,742.72
  5. Step 5: Solve for x
    x = 105,422,306,742.72/274,768.80
  6. Step 6: Final answer
    x = 383,676.41

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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.