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Finding the Fourth Proportional to 317,266.96, 475,944.36 and 106,965.04

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Solution

The fourth proportional to 317,266.96, 475,944.36 and 106,965.04 is: 160,462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,266.96 : 475,944.36 = 106,965.04 : x
  2. Step 2: Convert to fraction form
    317,266.96/475,944.36 = 106,965.04/x
  3. Step 3: Cross multiply
    317,266.96x = 475,944.36 × 106,965.04
  4. Step 4: Simplify right side
    317,266.96x = 50,909,407,505.17
  5. Step 5: Solve for x
    x = 50,909,407,505.17/317,266.96
  6. Step 6: Final answer
    x = 160,462.37

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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.