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Finding the Fourth Proportional to 274,496.66, 411,698.27 and 74,770.32

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Solution

The fourth proportional to 274,496.66, 411,698.27 and 74,770.32 is: 112,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,496.66 : 411,698.27 = 74,770.32 : x
  2. Step 2: Convert to fraction form
    274,496.66/411,698.27 = 74,770.32/x
  3. Step 3: Cross multiply
    274,496.66x = 411,698.27 × 74,770.32
  4. Step 4: Simplify right side
    274,496.66x = 30,782,811,017.49
  5. Step 5: Solve for x
    x = 30,782,811,017.49/274,496.66
  6. Step 6: Final answer
    x = 112,142.75

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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.