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Finding the Fourth Proportional to 293,764.46, 440,843.72 and 188,657.24

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Solution

The fourth proportional to 293,764.46, 440,843.72 and 188,657.24 is: 283,112.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,764.46 : 440,843.72 = 188,657.24 : x
  2. Step 2: Convert to fraction form
    293,764.46/440,843.72 = 188,657.24/x
  3. Step 3: Cross multiply
    293,764.46x = 440,843.72 × 188,657.24
  4. Step 4: Simplify right side
    293,764.46x = 83,168,356,339.03
  5. Step 5: Solve for x
    x = 83,168,356,339.03/293,764.46
  6. Step 6: Final answer
    x = 283,112.39

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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.