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Finding the Fourth Proportional to 313,916.92, 471,171.30 and 114,430.12

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Solution

The fourth proportional to 313,916.92, 471,171.30 and 114,430.12 is: 171,753.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,916.92 : 471,171.30 = 114,430.12 : x
  2. Step 2: Convert to fraction form
    313,916.92/471,171.30 = 114,430.12/x
  3. Step 3: Cross multiply
    313,916.92x = 471,171.30 × 114,430.12
  4. Step 4: Simplify right side
    313,916.92x = 53,916,188,399.56
  5. Step 5: Solve for x
    x = 53,916,188,399.56/313,916.92
  6. Step 6: Final answer
    x = 171,753.05

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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.