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Finding the Fourth Proportional to 307,234.26, 460,243.13 and 144,906.01

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Solution

The fourth proportional to 307,234.26, 460,243.13 and 144,906.01 is: 217,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,234.26 : 460,243.13 = 144,906.01 : x
  2. Step 2: Convert to fraction form
    307,234.26/460,243.13 = 144,906.01/x
  3. Step 3: Cross multiply
    307,234.26x = 460,243.13 × 144,906.01
  4. Step 4: Simplify right side
    307,234.26x = 66,691,993,723.07
  5. Step 5: Solve for x
    x = 66,691,993,723.07/307,234.26
  6. Step 6: Final answer
    x = 217,072.13

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1.5x scale

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.