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Finding the Fourth Proportional to 393,695.54, 590,552.42 and 140,993.36

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Solution

The fourth proportional to 393,695.54, 590,552.42 and 140,993.36 is: 211,493.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,695.54 : 590,552.42 = 140,993.36 : x
  2. Step 2: Convert to fraction form
    393,695.54/590,552.42 = 140,993.36/x
  3. Step 3: Cross multiply
    393,695.54x = 590,552.42 × 140,993.36
  4. Step 4: Simplify right side
    393,695.54x = 83,263,969,951.93
  5. Step 5: Solve for x
    x = 83,263,969,951.93/393,695.54
  6. Step 6: Final answer
    x = 211,493.30

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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.