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Finding the Fourth Proportional to 399,385.60, 598,728.16 and 150,242.56

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Solution

The fourth proportional to 399,385.60, 598,728.16 and 150,242.56 is: 225,232.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,385.60 : 598,728.16 = 150,242.56 : x
  2. Step 2: Convert to fraction form
    399,385.60/598,728.16 = 150,242.56/x
  3. Step 3: Cross multiply
    399,385.60x = 598,728.16 × 150,242.56
  4. Step 4: Simplify right side
    399,385.60x = 89,954,451,502.49
  5. Step 5: Solve for x
    x = 89,954,451,502.49/399,385.60
  6. Step 6: Final answer
    x = 225,232.09

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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.