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Finding the Fourth Proportional to 314,924.44, 434,580 and 178,940.44

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Solution

The fourth proportional to 314,924.44, 434,580 and 178,940.44 is: 246,928.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,924.44 : 434,580 = 178,940.44 : x
  2. Step 2: Convert to fraction form
    314,924.44/434,580 = 178,940.44/x
  3. Step 3: Cross multiply
    314,924.44x = 434,580 × 178,940.44
  4. Step 4: Simplify right side
    314,924.44x = 77,763,936,415.20
  5. Step 5: Solve for x
    x = 77,763,936,415.20/314,924.44
  6. Step 6: Final answer
    x = 246,928.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.