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Finding the Fourth Proportional to 274,265.66, 411,427.65 and 74,589.32

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Solution

The fourth proportional to 274,265.66, 411,427.65 and 74,589.32 is: 111,891.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,265.66 : 411,427.65 = 74,589.32 : x
  2. Step 2: Convert to fraction form
    274,265.66/411,427.65 = 74,589.32/x
  3. Step 3: Cross multiply
    274,265.66x = 411,427.65 × 74,589.32
  4. Step 4: Simplify right side
    274,265.66x = 30,688,108,642.70
  5. Step 5: Solve for x
    x = 30,688,108,642.70/274,265.66
  6. Step 6: Final answer
    x = 111,891.91

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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.