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Finding the Fourth Proportional to 314,861.67, 434,638.46 and 213,025.27

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Solution

The fourth proportional to 314,861.67, 434,638.46 and 213,025.27 is: 294,062.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,861.67 : 434,638.46 = 213,025.27 : x
  2. Step 2: Convert to fraction form
    314,861.67/434,638.46 = 213,025.27/x
  3. Step 3: Cross multiply
    314,861.67x = 434,638.46 × 213,025.27
  4. Step 4: Simplify right side
    314,861.67x = 92,588,973,134.11
  5. Step 5: Solve for x
    x = 92,588,973,134.11/314,861.67
  6. Step 6: Final answer
    x = 294,062.38

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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.