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Finding the Fourth Proportional to 306,881.76, 460,519.25 and 149,024.10

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Solution

The fourth proportional to 306,881.76, 460,519.25 and 149,024.10 is: 223,631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,881.76 : 460,519.25 = 149,024.10 : x
  2. Step 2: Convert to fraction form
    306,881.76/460,519.25 = 149,024.10/x
  3. Step 3: Cross multiply
    306,881.76x = 460,519.25 × 149,024.10
  4. Step 4: Simplify right side
    306,881.76x = 68,628,466,763.93
  5. Step 5: Solve for x
    x = 68,628,466,763.93/306,881.76
  6. Step 6: Final answer
    x = 223,631.63

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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.