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Finding the Fourth Proportional to 442,838.56, 664,612.08 and 232,600.48

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Solution

The fourth proportional to 442,838.56, 664,612.08 and 232,600.48 is: 349,086.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,838.56 : 664,612.08 = 232,600.48 : x
  2. Step 2: Convert to fraction form
    442,838.56/664,612.08 = 232,600.48/x
  3. Step 3: Cross multiply
    442,838.56x = 664,612.08 × 232,600.48
  4. Step 4: Simplify right side
    442,838.56x = 154,589,088,821.80
  5. Step 5: Solve for x
    x = 154,589,088,821.80/442,838.56
  6. Step 6: Final answer
    x = 349,086.78

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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.