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Finding the Fourth Proportional to 394,693.66, 592,003.59 and 110,409.78

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Solution

The fourth proportional to 394,693.66, 592,003.59 and 110,409.78 is: 165,604.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,693.66 : 592,003.59 = 110,409.78 : x
  2. Step 2: Convert to fraction form
    394,693.66/592,003.59 = 110,409.78/x
  3. Step 3: Cross multiply
    394,693.66x = 592,003.59 × 110,409.78
  4. Step 4: Simplify right side
    394,693.66x = 65,362,987,937.09
  5. Step 5: Solve for x
    x = 65,362,987,937.09/394,693.66
  6. Step 6: Final answer
    x = 165,604.35

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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.