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Finding the Fourth Proportional to 306,881.26, 460,518.50 and 149,023.60

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Solution

The fourth proportional to 306,881.26, 460,518.50 and 149,023.60 is: 223,630.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,881.26 : 460,518.50 = 149,023.60 : x
  2. Step 2: Convert to fraction form
    306,881.26/460,518.50 = 149,023.60/x
  3. Step 3: Cross multiply
    306,881.26x = 460,518.50 × 149,023.60
  4. Step 4: Simplify right side
    306,881.26x = 68,628,121,688.89
  5. Step 5: Solve for x
    x = 68,628,121,688.89/306,881.26
  6. Step 6: Final answer
    x = 223,630.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.