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Finding the Fourth Proportional to 306,882.26, 460,520 and 149,024.60

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Solution

The fourth proportional to 306,882.26, 460,520 and 149,024.60 is: 223,632.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,882.26 : 460,520 = 149,024.60 : x
  2. Step 2: Convert to fraction form
    306,882.26/460,520 = 149,024.60/x
  3. Step 3: Cross multiply
    306,882.26x = 460,520 × 149,024.60
  4. Step 4: Simplify right side
    306,882.26x = 68,628,808,792
  5. Step 5: Solve for x
    x = 68,628,808,792/306,882.26
  6. Step 6: Final answer
    x = 223,632.38

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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.