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Finding the Fourth Proportional to 394,956.76, 591,057.32 and 323,048.20

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Solution

The fourth proportional to 394,956.76, 591,057.32 and 323,048.20 is: 483,445.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,956.76 : 591,057.32 = 323,048.20 : x
  2. Step 2: Convert to fraction form
    394,956.76/591,057.32 = 323,048.20/x
  3. Step 3: Cross multiply
    394,956.76x = 591,057.32 × 323,048.20
  4. Step 4: Simplify right side
    394,956.76x = 190,940,003,322.82
  5. Step 5: Solve for x
    x = 190,940,003,322.82/394,956.76
  6. Step 6: Final answer
    x = 483,445.34

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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.