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Finding the Fourth Proportional to 298,256.50, 411,593.97 and 164,120.50

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Solution

The fourth proportional to 298,256.50, 411,593.97 and 164,120.50 is: 226,486.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,256.50 : 411,593.97 = 164,120.50 : x
  2. Step 2: Convert to fraction form
    298,256.50/411,593.97 = 164,120.50/x
  3. Step 3: Cross multiply
    298,256.50x = 411,593.97 × 164,120.50
  4. Step 4: Simplify right side
    298,256.50x = 67,551,008,153.39
  5. Step 5: Solve for x
    x = 67,551,008,153.39/298,256.50
  6. Step 6: Final answer
    x = 226,486.29

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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.