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Finding the Fourth Proportional to 314,736.18, 472,243.84 and 164,940.86

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Solution

The fourth proportional to 314,736.18, 472,243.84 and 164,940.86 is: 247,484.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,736.18 : 472,243.84 = 164,940.86 : x
  2. Step 2: Convert to fraction form
    314,736.18/472,243.84 = 164,940.86/x
  3. Step 3: Cross multiply
    314,736.18x = 472,243.84 × 164,940.86
  4. Step 4: Simplify right side
    314,736.18x = 77,892,305,099.30
  5. Step 5: Solve for x
    x = 77,892,305,099.30/314,736.18
  6. Step 6: Final answer
    x = 247,484.43

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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.