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Finding the Fourth Proportional to 317,305.10, 475,959.30 and 106,944.86

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Solution

The fourth proportional to 317,305.10, 475,959.30 and 106,944.86 is: 160,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,305.10 : 475,959.30 = 106,944.86 : x
  2. Step 2: Convert to fraction form
    317,305.10/475,959.30 = 106,944.86/x
  3. Step 3: Cross multiply
    317,305.10x = 475,959.30 × 106,944.86
  4. Step 4: Simplify right side
    317,305.10x = 50,901,400,704.20
  5. Step 5: Solve for x
    x = 50,901,400,704.20/317,305.10
  6. Step 6: Final answer
    x = 160,417.85

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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.