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Finding the Fourth Proportional to 394,355.32, 591,524.34 and 110,038.30

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Solution

The fourth proportional to 394,355.32, 591,524.34 and 110,038.30 is: 165,055.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,355.32 : 591,524.34 = 110,038.30 : x
  2. Step 2: Convert to fraction form
    394,355.32/591,524.34 = 110,038.30/x
  3. Step 3: Cross multiply
    394,355.32x = 591,524.34 × 110,038.30
  4. Step 4: Simplify right side
    394,355.32x = 65,090,332,782.22
  5. Step 5: Solve for x
    x = 65,090,332,782.22/394,355.32
  6. Step 6: Final answer
    x = 165,055.04

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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.