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Finding the Fourth Proportional to 274,432.80, 411,706.80 and 84,877.60

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Solution

The fourth proportional to 274,432.80, 411,706.80 and 84,877.60 is: 127,334.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,432.80 : 411,706.80 = 84,877.60 : x
  2. Step 2: Convert to fraction form
    274,432.80/411,706.80 = 84,877.60/x
  3. Step 3: Cross multiply
    274,432.80x = 411,706.80 × 84,877.60
  4. Step 4: Simplify right side
    274,432.80x = 34,944,685,087.68
  5. Step 5: Solve for x
    x = 34,944,685,087.68/274,432.80
  6. Step 6: Final answer
    x = 127,334.21

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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.