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Finding the Fourth Proportional to 343,911.46, 515,969.67 and 164,131.84

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Solution

The fourth proportional to 343,911.46, 515,969.67 and 164,131.84 is: 246,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,911.46 : 515,969.67 = 164,131.84 : x
  2. Step 2: Convert to fraction form
    343,911.46/515,969.67 = 164,131.84/x
  3. Step 3: Cross multiply
    343,911.46x = 515,969.67 × 164,131.84
  4. Step 4: Simplify right side
    343,911.46x = 84,687,051,321.29
  5. Step 5: Solve for x
    x = 84,687,051,321.29/343,911.46
  6. Step 6: Final answer
    x = 246,246.67

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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.