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Finding the Fourth Proportional to 274,340.70, 411,839.10 and 154,493.10

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Solution

The fourth proportional to 274,340.70, 411,839.10 and 154,493.10 is: 231,924.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,340.70 : 411,839.10 = 154,493.10 : x
  2. Step 2: Convert to fraction form
    274,340.70/411,839.10 = 154,493.10/x
  3. Step 3: Cross multiply
    274,340.70x = 411,839.10 × 154,493.10
  4. Step 4: Simplify right side
    274,340.70x = 63,626,299,260.21
  5. Step 5: Solve for x
    x = 63,626,299,260.21/274,340.70
  6. Step 6: Final answer
    x = 231,924.39

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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.