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Finding the Fourth Proportional to 314,438.46, 434,213.37 and 199,753.98

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Solution

The fourth proportional to 314,438.46, 434,213.37 and 199,753.98 is: 275,843.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,438.46 : 434,213.37 = 199,753.98 : x
  2. Step 2: Convert to fraction form
    314,438.46/434,213.37 = 199,753.98/x
  3. Step 3: Cross multiply
    314,438.46x = 434,213.37 × 199,753.98
  4. Step 4: Simplify right side
    314,438.46x = 86,735,848,826.71
  5. Step 5: Solve for x
    x = 86,735,848,826.71/314,438.46
  6. Step 6: Final answer
    x = 275,843.64

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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.