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Finding the Fourth Proportional to 300,834.50, 415,156.20 and 164,867.34

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Solution

The fourth proportional to 300,834.50, 415,156.20 and 164,867.34 is: 227,519.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,834.50 : 415,156.20 = 164,867.34 : x
  2. Step 2: Convert to fraction form
    300,834.50/415,156.20 = 164,867.34/x
  3. Step 3: Cross multiply
    300,834.50x = 415,156.20 × 164,867.34
  4. Step 4: Simplify right side
    300,834.50x = 68,445,698,378.51
  5. Step 5: Solve for x
    x = 68,445,698,378.51/300,834.50
  6. Step 6: Final answer
    x = 227,519.44

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