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Finding the Fourth Proportional to 393,738.30, 590,218.65 and 156,764.70

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Solution

The fourth proportional to 393,738.30, 590,218.65 and 156,764.70 is: 234,992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,738.30 : 590,218.65 = 156,764.70 : x
  2. Step 2: Convert to fraction form
    393,738.30/590,218.65 = 156,764.70/x
  3. Step 3: Cross multiply
    393,738.30x = 590,218.65 × 156,764.70
  4. Step 4: Simplify right side
    393,738.30x = 92,525,449,601.66
  5. Step 5: Solve for x
    x = 92,525,449,601.66/393,738.30
  6. Step 6: Final answer
    x = 234,992.25

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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.