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Finding the Fourth Proportional to 307,578.60, 460,979.10 and 274,141.80

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Solution

The fourth proportional to 307,578.60, 460,979.10 and 274,141.80 is: 410,866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,578.60 : 460,979.10 = 274,141.80 : x
  2. Step 2: Convert to fraction form
    307,578.60/460,979.10 = 274,141.80/x
  3. Step 3: Cross multiply
    307,578.60x = 460,979.10 × 274,141.80
  4. Step 4: Simplify right side
    307,578.60x = 126,373,640,236.38
  5. Step 5: Solve for x
    x = 126,373,640,236.38/307,578.60
  6. Step 6: Final answer
    x = 410,866.17

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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.