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Finding the Fourth Proportional to 313,912.92, 471,165.30 and 114,426.12

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Solution

The fourth proportional to 313,912.92, 471,165.30 and 114,426.12 is: 171,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,912.92 : 471,165.30 = 114,426.12 : x
  2. Step 2: Convert to fraction form
    313,912.92/471,165.30 = 114,426.12/x
  3. Step 3: Cross multiply
    313,912.92x = 471,165.30 × 114,426.12
  4. Step 4: Simplify right side
    313,912.92x = 53,913,617,157.64
  5. Step 5: Solve for x
    x = 53,913,617,157.64/313,912.92
  6. Step 6: Final answer
    x = 171,747.05

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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.